What is the Greatest Common Factor of 85916 and 85936?

Greatest common factor (GCF) of 85916 and 85936 is 4.

GCF(85916,85936) = 4

We will now calculate the prime factors of 85916 and 85936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85916 and 85936.

How to find the GCF of 85916 and 85936?

We will first find the prime factorization of 85916 and 85936. After we will calculate the factors of 85916 and 85936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85936

Prime factors of 85936 are 2, 41, 131. Prime factorization of 85936 in exponential form is:

85936 = 2⁴ × 41¹ × 131¹

Step-3: Factors of 85916

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

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

Step-4: Factors of 85936

List of positive integer factors of 85936 that divides 85916 without a remainder.

1, 2, 4, 8, 16, 41, 82, 131, 164, 262, 328, 524, 656, 1048, 2096, 5371, 10742, 21484, 42968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85916 and 85936. The biggest common factor number is the GCF number.
So the greatest common factor 85916 and 85936 is 4.

Also check out the Least Common Multiple of 85916 and 85936