What is the Greatest Common Factor of 44254 and 44264?

Greatest common factor (GCF) of 44254 and 44264 is 2.

GCF(44254,44264) = 2

We will now calculate the prime factors of 44254 and 44264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44254 and 44264.

How to find the GCF of 44254 and 44264?

We will first find the prime factorization of 44254 and 44264. After we will calculate the factors of 44254 and 44264 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 44264

Prime factors of 44264 are 2, 11, 503. Prime factorization of 44264 in exponential form is:

44264 = 2³ × 11¹ × 503¹

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 44264

List of positive integer factors of 44264 that divides 44254 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 503, 1006, 2012, 4024, 5533, 11066, 22132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44254 and 44264. The biggest common factor number is the GCF number.
So the greatest common factor 44254 and 44264 is 2.

Also check out the Least Common Multiple of 44254 and 44264