What is the Greatest Common Factor of 39609 and 39624?

Greatest common factor (GCF) of 39609 and 39624 is 3.

GCF(39609,39624) = 3

We will now calculate the prime factors of 39609 and 39624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39609 and 39624.

How to find the GCF of 39609 and 39624?

We will first find the prime factorization of 39609 and 39624. After we will calculate the factors of 39609 and 39624 and find the biggest common factor number .

Step-1: Prime Factorization of 39609

Prime factors of 39609 are 3, 163. Prime factorization of 39609 in exponential form is:

39609 = 3⁵ × 163¹

Step-2: Prime Factorization of 39624

Prime factors of 39624 are 2, 3, 13, 127. Prime factorization of 39624 in exponential form is:

39624 = 2³ × 3¹ × 13¹ × 127¹

Step-3: Factors of 39609

List of positive integer factors of 39609 that divides 39609 without a remainder.

1, 3, 9, 27, 81, 163, 243, 489, 1467, 4401, 13203

Step-4: Factors of 39624

List of positive integer factors of 39624 that divides 39609 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 127, 156, 254, 312, 381, 508, 762, 1016, 1524, 1651, 3048, 3302, 4953, 6604, 9906, 13208, 19812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39609 and 39624. The biggest common factor number is the GCF number.
So the greatest common factor 39609 and 39624 is 3.

Also check out the Least Common Multiple of 39609 and 39624