What is the Greatest Common Factor of 28929 and 28938?

Greatest common factor (GCF) of 28929 and 28938 is 3.

GCF(28929,28938) = 3

We will now calculate the prime factors of 28929 and 28938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28929 and 28938.

How to find the GCF of 28929 and 28938?

We will first find the prime factorization of 28929 and 28938. After we will calculate the factors of 28929 and 28938 and find the biggest common factor number .

Step-1: Prime Factorization of 28929

Prime factors of 28929 are 3, 9643. Prime factorization of 28929 in exponential form is:

28929 = 3¹ × 9643¹

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 28929

List of positive integer factors of 28929 that divides 28929 without a remainder.

1, 3, 9643

Step-4: Factors of 28938

List of positive integer factors of 28938 that divides 28929 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 28929 and 28938. The biggest common factor number is the GCF number.
So the greatest common factor 28929 and 28938 is 3.

Also check out the Least Common Multiple of 28929 and 28938