What is the Greatest Common Factor of 85968 and 85977?

Greatest common factor (GCF) of 85968 and 85977 is 9.

GCF(85968,85977) = 9

We will now calculate the prime factors of 85968 and 85977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85968 and 85977.

How to find the GCF of 85968 and 85977?

We will first find the prime factorization of 85968 and 85977. After we will calculate the factors of 85968 and 85977 and find the biggest common factor number .

Step-1: Prime Factorization of 85968

Prime factors of 85968 are 2, 3, 199. Prime factorization of 85968 in exponential form is:

85968 = 2⁴ × 3³ × 199¹

Step-2: Prime Factorization of 85977

Prime factors of 85977 are 3, 41, 233. Prime factorization of 85977 in exponential form is:

85977 = 3² × 41¹ × 233¹

Step-3: Factors of 85968

List of positive integer factors of 85968 that divides 85968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 199, 216, 398, 432, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 5373, 7164, 9552, 10746, 14328, 21492, 28656, 42984

Step-4: Factors of 85977

List of positive integer factors of 85977 that divides 85968 without a remainder.

1, 3, 9, 41, 123, 233, 369, 699, 2097, 9553, 28659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85968 and 85977. The biggest common factor number is the GCF number.
So the greatest common factor 85968 and 85977 is 9.

Also check out the Least Common Multiple of 85968 and 85977