What is the Greatest Common Factor of 44551 and 44564?

Greatest common factor (GCF) of 44551 and 44564 is 13.

GCF(44551,44564) = 13

We will now calculate the prime factors of 44551 and 44564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44551 and 44564.

How to find the GCF of 44551 and 44564?

We will first find the prime factorization of 44551 and 44564. After we will calculate the factors of 44551 and 44564 and find the biggest common factor number .

Step-1: Prime Factorization of 44551

Prime factors of 44551 are 13, 23, 149. Prime factorization of 44551 in exponential form is:

44551 = 13¹ × 23¹ × 149¹

Step-2: Prime Factorization of 44564

Prime factors of 44564 are 2, 13, 857. Prime factorization of 44564 in exponential form is:

44564 = 2² × 13¹ × 857¹

Step-3: Factors of 44551

List of positive integer factors of 44551 that divides 44551 without a remainder.

1, 13, 23, 149, 299, 1937, 3427

Step-4: Factors of 44564

List of positive integer factors of 44564 that divides 44551 without a remainder.

1, 2, 4, 13, 26, 52, 857, 1714, 3428, 11141, 22282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44551 and 44564. The biggest common factor number is the GCF number.
So the greatest common factor 44551 and 44564 is 13.

Also check out the Least Common Multiple of 44551 and 44564