What is the Greatest Common Factor of 4954 and 4972?

Greatest common factor (GCF) of 4954 and 4972 is 2.

GCF(4954,4972) = 2

We will now calculate the prime factors of 4954 and 4972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4954 and 4972.

How to find the GCF of 4954 and 4972?

We will first find the prime factorization of 4954 and 4972. After we will calculate the factors of 4954 and 4972 and find the biggest common factor number .

Step-1: Prime Factorization of 4954

Prime factors of 4954 are 2, 2477. Prime factorization of 4954 in exponential form is:

4954 = 2¹ × 2477¹

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 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1, 2, 2477

Step-4: Factors of 4972

List of positive integer factors of 4972 that divides 4954 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 4954 and 4972. The biggest common factor number is the GCF number.
So the greatest common factor 4954 and 4972 is 2.

Also check out the Least Common Multiple of 4954 and 4972