What is the Greatest Common Factor of 80971 and 80988?

Greatest common factor (GCF) of 80971 and 80988 is 17.

GCF(80971,80988) = 17

We will now calculate the prime factors of 80971 and 80988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80971 and 80988.

How to find the GCF of 80971 and 80988?

We will first find the prime factorization of 80971 and 80988. After we will calculate the factors of 80971 and 80988 and find the biggest common factor number .

Step-1: Prime Factorization of 80971

Prime factors of 80971 are 11, 17, 433. Prime factorization of 80971 in exponential form is:

80971 = 11¹ × 17¹ × 433¹

Step-2: Prime Factorization of 80988

Prime factors of 80988 are 2, 3, 17, 397. Prime factorization of 80988 in exponential form is:

80988 = 2² × 3¹ × 17¹ × 397¹

Step-3: Factors of 80971

List of positive integer factors of 80971 that divides 80971 without a remainder.

1, 11, 17, 187, 433, 4763, 7361

Step-4: Factors of 80988

List of positive integer factors of 80988 that divides 80971 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 397, 794, 1191, 1588, 2382, 4764, 6749, 13498, 20247, 26996, 40494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80971 and 80988. The biggest common factor number is the GCF number.
So the greatest common factor 80971 and 80988 is 17.

Also check out the Least Common Multiple of 80971 and 80988