What is the Greatest Common Factor of 81972 and 81976?

Greatest common factor (GCF) of 81972 and 81976 is 4.

GCF(81972,81976) = 4

We will now calculate the prime factors of 81972 and 81976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81972 and 81976.

How to find the GCF of 81972 and 81976?

We will first find the prime factorization of 81972 and 81976. After we will calculate the factors of 81972 and 81976 and find the biggest common factor number .

Step-1: Prime Factorization of 81972

Prime factors of 81972 are 2, 3, 11, 23. Prime factorization of 81972 in exponential form is:

81972 = 2² × 3⁴ × 11¹ × 23¹

Step-2: Prime Factorization of 81976

Prime factors of 81976 are 2, 10247. Prime factorization of 81976 in exponential form is:

81976 = 2³ × 10247¹

Step-3: Factors of 81972

List of positive integer factors of 81972 that divides 81972 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 27, 33, 36, 44, 46, 54, 66, 69, 81, 92, 99, 108, 132, 138, 162, 198, 207, 253, 276, 297, 324, 396, 414, 506, 594, 621, 759, 828, 891, 1012, 1188, 1242, 1518, 1782, 1863, 2277, 2484, 3036, 3564, 3726, 4554, 6831, 7452, 9108, 13662, 20493, 27324, 40986

Step-4: Factors of 81976

List of positive integer factors of 81976 that divides 81972 without a remainder.

1, 2, 4, 8, 10247, 20494, 40988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81972 and 81976. The biggest common factor number is the GCF number.
So the greatest common factor 81972 and 81976 is 4.

Also check out the Least Common Multiple of 81972 and 81976