What is the Greatest Common Factor of 44564 and 44574?

Greatest common factor (GCF) of 44564 and 44574 is 2.

GCF(44564,44574) = 2

We will now calculate the prime factors of 44564 and 44574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44564 and 44574.

How to find the GCF of 44564 and 44574?

We will first find the prime factorization of 44564 and 44574. After we will calculate the factors of 44564 and 44574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44574

Prime factors of 44574 are 2, 3, 17, 19, 23. Prime factorization of 44574 in exponential form is:

44574 = 2¹ × 3¹ × 17¹ × 19¹ × 23¹

Step-3: Factors of 44564

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

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

Step-4: Factors of 44574

List of positive integer factors of 44574 that divides 44564 without a remainder.

1, 2, 3, 6, 17, 19, 23, 34, 38, 46, 51, 57, 69, 102, 114, 138, 323, 391, 437, 646, 782, 874, 969, 1173, 1311, 1938, 2346, 2622, 7429, 14858, 22287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44564 and 44574. The biggest common factor number is the GCF number.
So the greatest common factor 44564 and 44574 is 2.

Also check out the Least Common Multiple of 44564 and 44574