What is the Greatest Common Factor of 44254 and 44272?

Greatest common factor (GCF) of 44254 and 44272 is 2.

GCF(44254,44272) = 2

We will now calculate the prime factors of 44254 and 44272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44254 and 44272.

How to find the GCF of 44254 and 44272?

We will first find the prime factorization of 44254 and 44272. After we will calculate the factors of 44254 and 44272 and find the biggest common factor number .

Step-1: Prime Factorization of 44254

Prime factors of 44254 are 2, 7, 29, 109. Prime factorization of 44254 in exponential form is:

44254 = 2¹ × 7¹ × 29¹ × 109¹

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 44254

List of positive integer factors of 44254 that divides 44254 without a remainder.

1, 2, 7, 14, 29, 58, 109, 203, 218, 406, 763, 1526, 3161, 6322, 22127

Step-4: Factors of 44272

List of positive integer factors of 44272 that divides 44254 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 44254 and 44272. The biggest common factor number is the GCF number.
So the greatest common factor 44254 and 44272 is 2.

Also check out the Least Common Multiple of 44254 and 44272