What is the Greatest Common Factor of 85952 and 85968?

Greatest common factor (GCF) of 85952 and 85968 is 16.

GCF(85952,85968) = 16

We will now calculate the prime factors of 85952 and 85968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85952 and 85968.

How to find the GCF of 85952 and 85968?

We will first find the prime factorization of 85952 and 85968. After we will calculate the factors of 85952 and 85968 and find the biggest common factor number .

Step-1: Prime Factorization of 85952

Prime factors of 85952 are 2, 17, 79. Prime factorization of 85952 in exponential form is:

85952 = 2⁶ × 17¹ × 79¹

Step-2: 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-3: Factors of 85952

List of positive integer factors of 85952 that divides 85952 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 79, 136, 158, 272, 316, 544, 632, 1088, 1264, 1343, 2528, 2686, 5056, 5372, 10744, 21488, 42976

Step-4: Factors of 85968

List of positive integer factors of 85968 that divides 85952 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85952 and 85968. The biggest common factor number is the GCF number.
So the greatest common factor 85952 and 85968 is 16.

Also check out the Least Common Multiple of 85952 and 85968