What is the Greatest Common Factor of 80976 and 80983?

Greatest common factor (GCF) of 80976 and 80983 is 7.

GCF(80976,80983) = 7

We will now calculate the prime factors of 80976 and 80983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80976 and 80983.

How to find the GCF of 80976 and 80983?

We will first find the prime factorization of 80976 and 80983. After we will calculate the factors of 80976 and 80983 and find the biggest common factor number .

Step-1: Prime Factorization of 80976

Prime factors of 80976 are 2, 3, 7, 241. Prime factorization of 80976 in exponential form is:

80976 = 2⁴ × 3¹ × 7¹ × 241¹

Step-2: Prime Factorization of 80983

Prime factors of 80983 are 7, 23, 503. Prime factorization of 80983 in exponential form is:

80983 = 7¹ × 23¹ × 503¹

Step-3: Factors of 80976

List of positive integer factors of 80976 that divides 80976 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 241, 336, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 3856, 5061, 5784, 6748, 10122, 11568, 13496, 20244, 26992, 40488

Step-4: Factors of 80983

List of positive integer factors of 80983 that divides 80976 without a remainder.

1, 7, 23, 161, 503, 3521, 11569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80976 and 80983. The biggest common factor number is the GCF number.
So the greatest common factor 80976 and 80983 is 7.

Also check out the Least Common Multiple of 80976 and 80983