What is the Greatest Common Factor of 39687 and 39696?

Greatest common factor (GCF) of 39687 and 39696 is 3.

GCF(39687,39696) = 3

We will now calculate the prime factors of 39687 and 39696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39687 and 39696.

How to find the GCF of 39687 and 39696?

We will first find the prime factorization of 39687 and 39696. After we will calculate the factors of 39687 and 39696 and find the biggest common factor number .

Step-1: Prime Factorization of 39687

Prime factors of 39687 are 3, 13229. Prime factorization of 39687 in exponential form is:

39687 = 3¹ × 13229¹

Step-2: Prime Factorization of 39696

Prime factors of 39696 are 2, 3, 827. Prime factorization of 39696 in exponential form is:

39696 = 2⁴ × 3¹ × 827¹

Step-3: Factors of 39687

List of positive integer factors of 39687 that divides 39687 without a remainder.

1, 3, 13229

Step-4: Factors of 39696

List of positive integer factors of 39696 that divides 39687 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 827, 1654, 2481, 3308, 4962, 6616, 9924, 13232, 19848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39687 and 39696. The biggest common factor number is the GCF number.
So the greatest common factor 39687 and 39696 is 3.

Also check out the Least Common Multiple of 39687 and 39696