What is the Greatest Common Factor of 39712 and 39716?

Greatest common factor (GCF) of 39712 and 39716 is 4.

GCF(39712,39716) = 4

We will now calculate the prime factors of 39712 and 39716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39712 and 39716.

How to find the GCF of 39712 and 39716?

We will first find the prime factorization of 39712 and 39716. After we will calculate the factors of 39712 and 39716 and find the biggest common factor number .

Step-1: Prime Factorization of 39712

Prime factors of 39712 are 2, 17, 73. Prime factorization of 39712 in exponential form is:

39712 = 2⁵ × 17¹ × 73¹

Step-2: Prime Factorization of 39716

Prime factors of 39716 are 2, 9929. Prime factorization of 39716 in exponential form is:

39716 = 2² × 9929¹

Step-3: Factors of 39712

List of positive integer factors of 39712 that divides 39712 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 73, 136, 146, 272, 292, 544, 584, 1168, 1241, 2336, 2482, 4964, 9928, 19856

Step-4: Factors of 39716

List of positive integer factors of 39716 that divides 39712 without a remainder.

1, 2, 4, 9929, 19858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39712 and 39716. The biggest common factor number is the GCF number.
So the greatest common factor 39712 and 39716 is 4.

Also check out the Least Common Multiple of 39712 and 39716