What is the Greatest Common Factor of 42624 and 42642?

Greatest common factor (GCF) of 42624 and 42642 is 18.

GCF(42624,42642) = 18

We will now calculate the prime factors of 42624 and 42642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42624 and 42642.

How to find the GCF of 42624 and 42642?

We will first find the prime factorization of 42624 and 42642. After we will calculate the factors of 42624 and 42642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42642

Prime factors of 42642 are 2, 3, 23, 103. Prime factorization of 42642 in exponential form is:

42642 = 2¹ × 3² × 23¹ × 103¹

Step-3: Factors of 42624

List of positive integer factors of 42624 that divides 42624 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

Step-4: Factors of 42642

List of positive integer factors of 42642 that divides 42624 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 103, 138, 206, 207, 309, 414, 618, 927, 1854, 2369, 4738, 7107, 14214, 21321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42624 and 42642. The biggest common factor number is the GCF number.
So the greatest common factor 42624 and 42642 is 18.

Also check out the Least Common Multiple of 42624 and 42642