What is the Greatest Common Factor of 44252 and 44272?

Greatest common factor (GCF) of 44252 and 44272 is 4.

GCF(44252,44272) = 4

We will now calculate the prime factors of 44252 and 44272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44252 and 44272.

How to find the GCF of 44252 and 44272?

We will first find the prime factorization of 44252 and 44272. After we will calculate the factors of 44252 and 44272 and find the biggest common factor number .

Step-1: Prime Factorization of 44252

Prime factors of 44252 are 2, 13, 23, 37. Prime factorization of 44252 in exponential form is:

44252 = 2² × 13¹ × 23¹ × 37¹

Step-2: Prime Factorization of 44272

Prime factors of 44272 are 2, 2767. Prime factorization of 44272 in exponential form is:

44272 = 2⁴ × 2767¹

Step-3: Factors of 44252

List of positive integer factors of 44252 that divides 44252 without a remainder.

1, 2, 4, 13, 23, 26, 37, 46, 52, 74, 92, 148, 299, 481, 598, 851, 962, 1196, 1702, 1924, 3404, 11063, 22126

Step-4: Factors of 44272

List of positive integer factors of 44272 that divides 44252 without a remainder.

1, 2, 4, 8, 16, 2767, 5534, 11068, 22136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44252 and 44272. The biggest common factor number is the GCF number.
So the greatest common factor 44252 and 44272 is 4.

Also check out the Least Common Multiple of 44252 and 44272