What is the Greatest Common Factor of 57624 and 57642?

Greatest common factor (GCF) of 57624 and 57642 is 6.

GCF(57624,57642) = 6

We will now calculate the prime factors of 57624 and 57642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57624 and 57642.

How to find the GCF of 57624 and 57642?

We will first find the prime factorization of 57624 and 57642. After we will calculate the factors of 57624 and 57642 and find the biggest common factor number .

Step-1: Prime Factorization of 57624

Prime factors of 57624 are 2, 3, 7. Prime factorization of 57624 in exponential form is:

57624 = 2³ × 3¹ × 7⁴

Step-2: Prime Factorization of 57642

Prime factors of 57642 are 2, 3, 13, 739. Prime factorization of 57642 in exponential form is:

57642 = 2¹ × 3¹ × 13¹ × 739¹

Step-3: Factors of 57624

List of positive integer factors of 57624 that divides 57624 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2401, 2744, 4116, 4802, 7203, 8232, 9604, 14406, 19208, 28812

Step-4: Factors of 57642

List of positive integer factors of 57642 that divides 57624 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 739, 1478, 2217, 4434, 9607, 19214, 28821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57624 and 57642. The biggest common factor number is the GCF number.
So the greatest common factor 57624 and 57642 is 6.

Also check out the Least Common Multiple of 57624 and 57642