What is the Greatest Common Factor of 42609 and 42624?

Greatest common factor (GCF) of 42609 and 42624 is 3.

GCF(42609,42624) = 3

We will now calculate the prime factors of 42609 and 42624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42609 and 42624.

How to find the GCF of 42609 and 42624?

We will first find the prime factorization of 42609 and 42624. After we will calculate the factors of 42609 and 42624 and find the biggest common factor number .

Step-1: Prime Factorization of 42609

Prime factors of 42609 are 3, 7, 2029. Prime factorization of 42609 in exponential form is:

42609 = 3¹ × 7¹ × 2029¹

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 42609

List of positive integer factors of 42609 that divides 42609 without a remainder.

1, 3, 7, 21, 2029, 6087, 14203

Step-4: Factors of 42624

List of positive integer factors of 42624 that divides 42609 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 42609 and 42624. The biggest common factor number is the GCF number.
So the greatest common factor 42609 and 42624 is 3.

Also check out the Least Common Multiple of 42609 and 42624