What is the Greatest Common Factor of 39896 and 39916?

Greatest common factor (GCF) of 39896 and 39916 is 4.

GCF(39896,39916) = 4

We will now calculate the prime factors of 39896 and 39916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39896 and 39916.

How to find the GCF of 39896 and 39916?

We will first find the prime factorization of 39896 and 39916. After we will calculate the factors of 39896 and 39916 and find the biggest common factor number .

Step-1: Prime Factorization of 39896

Prime factors of 39896 are 2, 4987. Prime factorization of 39896 in exponential form is:

39896 = 2³ × 4987¹

Step-2: Prime Factorization of 39916

Prime factors of 39916 are 2, 17, 587. Prime factorization of 39916 in exponential form is:

39916 = 2² × 17¹ × 587¹

Step-3: Factors of 39896

List of positive integer factors of 39896 that divides 39896 without a remainder.

1, 2, 4, 8, 4987, 9974, 19948

Step-4: Factors of 39916

List of positive integer factors of 39916 that divides 39896 without a remainder.

1, 2, 4, 17, 34, 68, 587, 1174, 2348, 9979, 19958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39896 and 39916. The biggest common factor number is the GCF number.
So the greatest common factor 39896 and 39916 is 4.

Also check out the Least Common Multiple of 39896 and 39916