What is the Greatest Common Factor of 80997 and 81004?

Greatest common factor (GCF) of 80997 and 81004 is 7.

GCF(80997,81004) = 7

We will now calculate the prime factors of 80997 and 81004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80997 and 81004.

How to find the GCF of 80997 and 81004?

We will first find the prime factorization of 80997 and 81004. After we will calculate the factors of 80997 and 81004 and find the biggest common factor number .

Step-1: Prime Factorization of 80997

Prime factors of 80997 are 3, 7, 19, 29. Prime factorization of 80997 in exponential form is:

80997 = 3¹ × 7² × 19¹ × 29¹

Step-2: Prime Factorization of 81004

Prime factors of 81004 are 2, 7, 11, 263. Prime factorization of 81004 in exponential form is:

81004 = 2² × 7¹ × 11¹ × 263¹

Step-3: Factors of 80997

List of positive integer factors of 80997 that divides 80997 without a remainder.

1, 3, 7, 19, 21, 29, 49, 57, 87, 133, 147, 203, 399, 551, 609, 931, 1421, 1653, 2793, 3857, 4263, 11571, 26999

Step-4: Factors of 81004

List of positive integer factors of 81004 that divides 80997 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 263, 308, 526, 1052, 1841, 2893, 3682, 5786, 7364, 11572, 20251, 40502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80997 and 81004. The biggest common factor number is the GCF number.
So the greatest common factor 80997 and 81004 is 7.

Also check out the Least Common Multiple of 80997 and 81004