What is the Greatest Common Factor of 42624 and 42638?

Greatest common factor (GCF) of 42624 and 42638 is 2.

GCF(42624,42638) = 2

We will now calculate the prime factors of 42624 and 42638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42624 and 42638.

How to find the GCF of 42624 and 42638?

We will first find the prime factorization of 42624 and 42638. After we will calculate the factors of 42624 and 42638 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 42638

Prime factors of 42638 are 2, 21319. Prime factorization of 42638 in exponential form is:

42638 = 2¹ × 21319¹

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 42638

List of positive integer factors of 42638 that divides 42624 without a remainder.

1, 2, 21319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42624 and 42638. The biggest common factor number is the GCF number.
So the greatest common factor 42624 and 42638 is 2.

Also check out the Least Common Multiple of 42624 and 42638