What is the Greatest Common Factor of 81972 and 81980?

Greatest common factor (GCF) of 81972 and 81980 is 4.

GCF(81972,81980) = 4

We will now calculate the prime factors of 81972 and 81980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81972 and 81980.

How to find the GCF of 81972 and 81980?

We will first find the prime factorization of 81972 and 81980. After we will calculate the factors of 81972 and 81980 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 81980

Prime factors of 81980 are 2, 5, 4099. Prime factorization of 81980 in exponential form is:

81980 = 2² × 5¹ × 4099¹

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 81980

List of positive integer factors of 81980 that divides 81972 without a remainder.

1, 2, 4, 5, 10, 20, 4099, 8198, 16396, 20495, 40990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81972 and 81980. The biggest common factor number is the GCF number.
So the greatest common factor 81972 and 81980 is 4.

Also check out the Least Common Multiple of 81972 and 81980