What is the Greatest Common Factor of 44260 and 44272?

Greatest common factor (GCF) of 44260 and 44272 is 4.

GCF(44260,44272) = 4

We will now calculate the prime factors of 44260 and 44272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44260 and 44272.

How to find the GCF of 44260 and 44272?

We will first find the prime factorization of 44260 and 44272. After we will calculate the factors of 44260 and 44272 and find the biggest common factor number .

Step-1: Prime Factorization of 44260

Prime factors of 44260 are 2, 5, 2213. Prime factorization of 44260 in exponential form is:

44260 = 2² × 5¹ × 2213¹

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 44260

List of positive integer factors of 44260 that divides 44260 without a remainder.

1, 2, 4, 5, 10, 20, 2213, 4426, 8852, 11065, 22130

Step-4: Factors of 44272

List of positive integer factors of 44272 that divides 44260 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 44260 and 44272. The biggest common factor number is the GCF number.
So the greatest common factor 44260 and 44272 is 4.

Also check out the Least Common Multiple of 44260 and 44272