What is the Greatest Common Factor of 4972 and 4976?

Greatest common factor (GCF) of 4972 and 4976 is 4.

GCF(4972,4976) = 4

We will now calculate the prime factors of 4972 and 4976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4972 and 4976.

How to find the GCF of 4972 and 4976?

We will first find the prime factorization of 4972 and 4976. After we will calculate the factors of 4972 and 4976 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4976

Prime factors of 4976 are 2, 311. Prime factorization of 4976 in exponential form is:

4976 = 2⁴ × 311¹

Step-3: Factors of 4972

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

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

Step-4: Factors of 4976

List of positive integer factors of 4976 that divides 4972 without a remainder.

1, 2, 4, 8, 16, 311, 622, 1244, 2488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4972 and 4976. The biggest common factor number is the GCF number.
So the greatest common factor 4972 and 4976 is 4.

Also check out the Least Common Multiple of 4972 and 4976