What is the Greatest Common Factor of 26964 and 26972?

Greatest common factor (GCF) of 26964 and 26972 is 4.

GCF(26964,26972) = 4

We will now calculate the prime factors of 26964 and 26972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26964 and 26972.

How to find the GCF of 26964 and 26972?

We will first find the prime factorization of 26964 and 26972. After we will calculate the factors of 26964 and 26972 and find the biggest common factor number .

Step-1: Prime Factorization of 26964

Prime factors of 26964 are 2, 3, 7, 107. Prime factorization of 26964 in exponential form is:

26964 = 2² × 3² × 7¹ × 107¹

Step-2: Prime Factorization of 26972

Prime factors of 26972 are 2, 11, 613. Prime factorization of 26972 in exponential form is:

26972 = 2² × 11¹ × 613¹

Step-3: Factors of 26964

List of positive integer factors of 26964 that divides 26964 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 107, 126, 214, 252, 321, 428, 642, 749, 963, 1284, 1498, 1926, 2247, 2996, 3852, 4494, 6741, 8988, 13482

Step-4: Factors of 26972

List of positive integer factors of 26972 that divides 26964 without a remainder.

1, 2, 4, 11, 22, 44, 613, 1226, 2452, 6743, 13486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26964 and 26972. The biggest common factor number is the GCF number.
So the greatest common factor 26964 and 26972 is 4.

Also check out the Least Common Multiple of 26964 and 26972