What is the Greatest Common Factor of 85968 and 85982?

Greatest common factor (GCF) of 85968 and 85982 is 2.

GCF(85968,85982) = 2

We will now calculate the prime factors of 85968 and 85982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85968 and 85982.

How to find the GCF of 85968 and 85982?

We will first find the prime factorization of 85968 and 85982. After we will calculate the factors of 85968 and 85982 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 85982

Prime factors of 85982 are 2, 13, 3307. Prime factorization of 85982 in exponential form is:

85982 = 2¹ × 13¹ × 3307¹

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 85982

List of positive integer factors of 85982 that divides 85968 without a remainder.

1, 2, 13, 26, 3307, 6614, 42991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85968 and 85982. The biggest common factor number is the GCF number.
So the greatest common factor 85968 and 85982 is 2.

Also check out the Least Common Multiple of 85968 and 85982