Make use of GCF Calculator come quickly uncover the Greatest usual Factor of numbers 30, 45 i.e. 15 biggest integer whereby both the numbers deserve to be divided.

You are watching: What is the greatest common factor of 30 and 45

Greatest common factor (GCF) the 30 and also 45 is 15.

GCF(30,45) = 15


Prime administer of 30

2 30
3 15
5 5
1

Prime determinants of 30 are 2,3,5. Element factorization of 30 in exponential kind is:

30 = 21×31×51Prime factorization of 45

3 45
3 15
5 5
1

Prime components of 45 room 3,5. Element factorization the 45 in exponential form is:

45 = 32×51∴ for this reason by taking common prime determinants GCF that 30 and also 45 is 15
Factors the 30

List of optimistic integer factors of 30 that divides 30 there is no a remainder.

1,2,3,5,6,10,15,30

Factors the 45

List of hopeful integer factors of 45 that divides 45 there is no a remainder.

1,3,5,9,15,45Greatest common Factor

We discovered the factors and prime administer of 30 and 45. The biggest common factor number is the GCF number. So the greatest usual factor 30 and also 45 is 15.

Also inspect out the Least usual Multiple of 30 and 45


1. What is the GCF that 30 and 45?

Answer: GCF that 30 and also 45 is 15.

2. What are the factors of 30?

Answer: factors of 30 room 1, 2, 3, 5, 6, 10, 15, 30. There space 8 integers that are determinants of 30. The greatest variable of 30 is 30.

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3. What are the factors of 45?

Answer: components of 45 room 1, 3, 5, 9, 15, 45. There room 6 integers that are components of 45. The greatest factor of 45 is 45.

4. How to discover the GCF of 30 and also 45?

Answer:

Greatest common Factor the 30 and also 45 = 15

Step 1: find the element factorization that 30

30 = 2 x 3 x 5

Step 2: find the prime factorization of 45

45 = 3 x 3 x 5

Step 3: multiply those components both numbers have actually in usual in steps i) or ii) over to discover the gcf:

GCF = 3 x 5 = 15

Step 4: Therefore, the greatest usual factor that 30 and 45 is 15


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