What is the Greatest Common Factor of 85968 and 85984?

Greatest common factor (GCF) of 85968 and 85984 is 16.

GCF(85968,85984) = 16

We will now calculate the prime factors of 85968 and 85984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85968 and 85984.

How to find the GCF of 85968 and 85984?

We will first find the prime factorization of 85968 and 85984. After we will calculate the factors of 85968 and 85984 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 85984

Prime factors of 85984 are 2, 2687. Prime factorization of 85984 in exponential form is:

85984 = 2⁵ × 2687¹

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 85984

List of positive integer factors of 85984 that divides 85968 without a remainder.

1, 2, 4, 8, 16, 32, 2687, 5374, 10748, 21496, 42992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85968 and 85984. The biggest common factor number is the GCF number.
So the greatest common factor 85968 and 85984 is 16.

Also check out the Least Common Multiple of 85968 and 85984