What is the Greatest Common Factor of 39624 and 39629?

Greatest common factor (GCF) of 39624 and 39629 is 1.

GCF(39624,39629) = 1

We will now calculate the prime factors of 39624 and 39629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39624 and 39629.

How to find the GCF of 39624 and 39629?

We will first find the prime factorization of 39624 and 39629. After we will calculate the factors of 39624 and 39629 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39629

Prime factors of 39629 are 23, 1723. Prime factorization of 39629 in exponential form is:

39629 = 23¹ × 1723¹

Step-3: Factors of 39624

List of positive integer factors of 39624 that divides 39624 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

Step-4: Factors of 39629

List of positive integer factors of 39629 that divides 39624 without a remainder.

1, 23, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39624 and 39629. The biggest common factor number is the GCF number.
So the greatest common factor 39624 and 39629 is 1.

Also check out the Least Common Multiple of 39624 and 39629