What is the Greatest Common Factor of 28938 and 28956?

Greatest common factor (GCF) of 28938 and 28956 is 6.

GCF(28938,28956) = 6

We will now calculate the prime factors of 28938 and 28956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28938 and 28956.

How to find the GCF of 28938 and 28956?

We will first find the prime factorization of 28938 and 28956. After we will calculate the factors of 28938 and 28956 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28956

Prime factors of 28956 are 2, 3, 19, 127. Prime factorization of 28956 in exponential form is:

28956 = 2² × 3¹ × 19¹ × 127¹

Step-3: Factors of 28938

List of positive integer factors of 28938 that divides 28938 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

Step-4: Factors of 28956

List of positive integer factors of 28956 that divides 28938 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 127, 228, 254, 381, 508, 762, 1524, 2413, 4826, 7239, 9652, 14478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28938 and 28956. The biggest common factor number is the GCF number.
So the greatest common factor 28938 and 28956 is 6.

Also check out the Least Common Multiple of 28938 and 28956