What is the Greatest Common Factor of 80971 and 80975?

Greatest common factor (GCF) of 80971 and 80975 is 1.

GCF(80971,80975) = 1

We will now calculate the prime factors of 80971 and 80975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80971 and 80975.

How to find the GCF of 80971 and 80975?

We will first find the prime factorization of 80971 and 80975. After we will calculate the factors of 80971 and 80975 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 80975

Prime factors of 80975 are 5, 41, 79. Prime factorization of 80975 in exponential form is:

80975 = 5² × 41¹ × 79¹

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 80975

List of positive integer factors of 80975 that divides 80971 without a remainder.

1, 5, 25, 41, 79, 205, 395, 1025, 1975, 3239, 16195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80971 and 80975. The biggest common factor number is the GCF number.
So the greatest common factor 80971 and 80975 is 1.

Also check out the Least Common Multiple of 80971 and 80975