What is the Greatest Common Factor of 44574 and 44580?

Greatest common factor (GCF) of 44574 and 44580 is 6.

GCF(44574,44580) = 6

We will now calculate the prime factors of 44574 and 44580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44574 and 44580.

How to find the GCF of 44574 and 44580?

We will first find the prime factorization of 44574 and 44580. After we will calculate the factors of 44574 and 44580 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44580

Prime factors of 44580 are 2, 3, 5, 743. Prime factorization of 44580 in exponential form is:

44580 = 2² × 3¹ × 5¹ × 743¹

Step-3: Factors of 44574

List of positive integer factors of 44574 that divides 44574 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

Step-4: Factors of 44580

List of positive integer factors of 44580 that divides 44574 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 743, 1486, 2229, 2972, 3715, 4458, 7430, 8916, 11145, 14860, 22290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44574 and 44580. The biggest common factor number is the GCF number.
So the greatest common factor 44574 and 44580 is 6.

Also check out the Least Common Multiple of 44574 and 44580