What is the Greatest Common Factor of 38916 and 38925?

Greatest common factor (GCF) of 38916 and 38925 is 9.

GCF(38916,38925) = 9

We will now calculate the prime factors of 38916 and 38925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38916 and 38925.

How to find the GCF of 38916 and 38925?

We will first find the prime factorization of 38916 and 38925. After we will calculate the factors of 38916 and 38925 and find the biggest common factor number .

Step-1: Prime Factorization of 38916

Prime factors of 38916 are 2, 3, 23, 47. Prime factorization of 38916 in exponential form is:

38916 = 2² × 3² × 23¹ × 47¹

Step-2: Prime Factorization of 38925

Prime factors of 38925 are 3, 5, 173. Prime factorization of 38925 in exponential form is:

38925 = 3² × 5² × 173¹

Step-3: Factors of 38916

List of positive integer factors of 38916 that divides 38916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 47, 69, 92, 94, 138, 141, 188, 207, 276, 282, 414, 423, 564, 828, 846, 1081, 1692, 2162, 3243, 4324, 6486, 9729, 12972, 19458

Step-4: Factors of 38925

List of positive integer factors of 38925 that divides 38916 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 173, 225, 519, 865, 1557, 2595, 4325, 7785, 12975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38916 and 38925. The biggest common factor number is the GCF number.
So the greatest common factor 38916 and 38925 is 9.

Also check out the Least Common Multiple of 38916 and 38925