What is the Greatest Common Factor of 44964 and 44972?

Greatest common factor (GCF) of 44964 and 44972 is 4.

GCF(44964,44972) = 4

We will now calculate the prime factors of 44964 and 44972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44964 and 44972.

How to find the GCF of 44964 and 44972?

We will first find the prime factorization of 44964 and 44972. After we will calculate the factors of 44964 and 44972 and find the biggest common factor number .

Step-1: Prime Factorization of 44964

Prime factors of 44964 are 2, 3, 1249. Prime factorization of 44964 in exponential form is:

44964 = 2² × 3² × 1249¹

Step-2: Prime Factorization of 44972

Prime factors of 44972 are 2, 11243. Prime factorization of 44972 in exponential form is:

44972 = 2² × 11243¹

Step-3: Factors of 44964

List of positive integer factors of 44964 that divides 44964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1249, 2498, 3747, 4996, 7494, 11241, 14988, 22482

Step-4: Factors of 44972

List of positive integer factors of 44972 that divides 44964 without a remainder.

1, 2, 4, 11243, 22486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44964 and 44972. The biggest common factor number is the GCF number.
So the greatest common factor 44964 and 44972 is 4.

Also check out the Least Common Multiple of 44964 and 44972