What is the Greatest Common Factor of 81972 and 81988?

Greatest common factor (GCF) of 81972 and 81988 is 4.

GCF(81972,81988) = 4

We will now calculate the prime factors of 81972 and 81988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81972 and 81988.

How to find the GCF of 81972 and 81988?

We will first find the prime factorization of 81972 and 81988. After we will calculate the factors of 81972 and 81988 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 81988

Prime factors of 81988 are 2, 103, 199. Prime factorization of 81988 in exponential form is:

81988 = 2² × 103¹ × 199¹

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 81988

List of positive integer factors of 81988 that divides 81972 without a remainder.

1, 2, 4, 103, 199, 206, 398, 412, 796, 20497, 40994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81972 and 81988. The biggest common factor number is the GCF number.
So the greatest common factor 81972 and 81988 is 4.

Also check out the Least Common Multiple of 81972 and 81988