What is the Greatest Common Factor of 28925 and 28938?

Greatest common factor (GCF) of 28925 and 28938 is 13.

GCF(28925,28938) = 13

We will now calculate the prime factors of 28925 and 28938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28925 and 28938.

How to find the GCF of 28925 and 28938?

We will first find the prime factorization of 28925 and 28938. After we will calculate the factors of 28925 and 28938 and find the biggest common factor number .

Step-1: Prime Factorization of 28925

Prime factors of 28925 are 5, 13, 89. Prime factorization of 28925 in exponential form is:

28925 = 5² × 13¹ × 89¹

Step-2: Prime Factorization of 28938

Prime factors of 28938 are 2, 3, 7, 13, 53. Prime factorization of 28938 in exponential form is:

28938 = 2¹ × 3¹ × 7¹ × 13¹ × 53¹

Step-3: Factors of 28925

List of positive integer factors of 28925 that divides 28925 without a remainder.

1, 5, 13, 25, 65, 89, 325, 445, 1157, 2225, 5785

Step-4: Factors of 28938

List of positive integer factors of 28938 that divides 28925 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 53, 78, 91, 106, 159, 182, 273, 318, 371, 546, 689, 742, 1113, 1378, 2067, 2226, 4134, 4823, 9646, 14469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28925 and 28938. The biggest common factor number is the GCF number.
So the greatest common factor 28925 and 28938 is 13.

Also check out the Least Common Multiple of 28925 and 28938