What is the Greatest Common Factor of 85896 and 85916?

Greatest common factor (GCF) of 85896 and 85916 is 4.

GCF(85896,85916) = 4

We will now calculate the prime factors of 85896 and 85916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85896 and 85916.

How to find the GCF of 85896 and 85916?

We will first find the prime factorization of 85896 and 85916. After we will calculate the factors of 85896 and 85916 and find the biggest common factor number .

Step-1: Prime Factorization of 85896

Prime factors of 85896 are 2, 3, 1193. Prime factorization of 85896 in exponential form is:

85896 = 2³ × 3² × 1193¹

Step-2: Prime Factorization of 85916

Prime factors of 85916 are 2, 47, 457. Prime factorization of 85916 in exponential form is:

85916 = 2² × 47¹ × 457¹

Step-3: Factors of 85896

List of positive integer factors of 85896 that divides 85896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1193, 2386, 3579, 4772, 7158, 9544, 10737, 14316, 21474, 28632, 42948

Step-4: Factors of 85916

List of positive integer factors of 85916 that divides 85896 without a remainder.

1, 2, 4, 47, 94, 188, 457, 914, 1828, 21479, 42958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85896 and 85916. The biggest common factor number is the GCF number.
So the greatest common factor 85896 and 85916 is 4.

Also check out the Least Common Multiple of 85896 and 85916