What is the Greatest Common Factor of 39607 and 39624?

Greatest common factor (GCF) of 39607 and 39624 is 1.

GCF(39607,39624) = 1

We will now calculate the prime factors of 39607 and 39624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39607 and 39624.

How to find the GCF of 39607 and 39624?

We will first find the prime factorization of 39607 and 39624. After we will calculate the factors of 39607 and 39624 and find the biggest common factor number .

Step-1: Prime Factorization of 39607

Prime factors of 39607 are 39607. Prime factorization of 39607 in exponential form is:

39607 = 39607¹

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 39607

List of positive integer factors of 39607 that divides 39607 without a remainder.

Step-4: Factors of 39624

List of positive integer factors of 39624 that divides 39607 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 39607 and 39624. The biggest common factor number is the GCF number.
So the greatest common factor 39607 and 39624 is 1.

Also check out the Least Common Multiple of 39607 and 39624