What is the Greatest Common Factor of 4956 and 4972?

Greatest common factor (GCF) of 4956 and 4972 is 4.

GCF(4956,4972) = 4

We will now calculate the prime factors of 4956 and 4972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4956 and 4972.

How to find the GCF of 4956 and 4972?

We will first find the prime factorization of 4956 and 4972. After we will calculate the factors of 4956 and 4972 and find the biggest common factor number .

Step-1: Prime Factorization of 4956

Prime factors of 4956 are 2, 3, 7, 59. Prime factorization of 4956 in exponential form is:

4956 = 2² × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 4972

Prime factors of 4972 are 2, 11, 113. Prime factorization of 4972 in exponential form is:

4972 = 2² × 11¹ × 113¹

Step-3: Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478

Step-4: Factors of 4972

List of positive integer factors of 4972 that divides 4956 without a remainder.

1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4956 and 4972. The biggest common factor number is the GCF number.
So the greatest common factor 4956 and 4972 is 4.

Also check out the Least Common Multiple of 4956 and 4972