What is the Greatest Common Factor of 42612 and 42624?

Greatest common factor (GCF) of 42612 and 42624 is 12.

GCF(42612,42624) = 12

We will now calculate the prime factors of 42612 and 42624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42612 and 42624.

How to find the GCF of 42612 and 42624?

We will first find the prime factorization of 42612 and 42624. After we will calculate the factors of 42612 and 42624 and find the biggest common factor number .

Step-1: Prime Factorization of 42612

Prime factors of 42612 are 2, 3, 53, 67. Prime factorization of 42612 in exponential form is:

42612 = 2² × 3¹ × 53¹ × 67¹

Step-2: Prime Factorization of 42624

Prime factors of 42624 are 2, 3, 37. Prime factorization of 42624 in exponential form is:

42624 = 2⁷ × 3² × 37¹

Step-3: Factors of 42612

List of positive integer factors of 42612 that divides 42612 without a remainder.

1, 2, 3, 4, 6, 12, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402, 636, 804, 3551, 7102, 10653, 14204, 21306

Step-4: Factors of 42624

List of positive integer factors of 42624 that divides 42612 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64, 72, 74, 96, 111, 128, 144, 148, 192, 222, 288, 296, 333, 384, 444, 576, 592, 666, 888, 1152, 1184, 1332, 1776, 2368, 2664, 3552, 4736, 5328, 7104, 10656, 14208, 21312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42612 and 42624. The biggest common factor number is the GCF number.
So the greatest common factor 42612 and 42624 is 12.

Also check out the Least Common Multiple of 42612 and 42624