What is the Greatest Common Factor of 74562 and 74572?

Greatest common factor (GCF) of 74562 and 74572 is 2.

GCF(74562,74572) = 2

We will now calculate the prime factors of 74562 and 74572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74562 and 74572.

How to find the GCF of 74562 and 74572?

We will first find the prime factorization of 74562 and 74572. After we will calculate the factors of 74562 and 74572 and find the biggest common factor number .

Step-1: Prime Factorization of 74562

Prime factors of 74562 are 2, 3, 17, 43. Prime factorization of 74562 in exponential form is:

74562 = 2¹ × 3¹ × 17² × 43¹

Step-2: Prime Factorization of 74572

Prime factors of 74572 are 2, 103, 181. Prime factorization of 74572 in exponential form is:

74572 = 2² × 103¹ × 181¹

Step-3: Factors of 74562

List of positive integer factors of 74562 that divides 74562 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 289, 578, 731, 867, 1462, 1734, 2193, 4386, 12427, 24854, 37281

Step-4: Factors of 74572

List of positive integer factors of 74572 that divides 74562 without a remainder.

1, 2, 4, 103, 181, 206, 362, 412, 724, 18643, 37286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74562 and 74572. The biggest common factor number is the GCF number.
So the greatest common factor 74562 and 74572 is 2.

Also check out the Least Common Multiple of 74562 and 74572