What is the Greatest Common Factor of 80975 and 80981?

Greatest common factor (GCF) of 80975 and 80981 is 1.

GCF(80975,80981) = 1

We will now calculate the prime factors of 80975 and 80981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80975 and 80981.

How to find the GCF of 80975 and 80981?

We will first find the prime factorization of 80975 and 80981. After we will calculate the factors of 80975 and 80981 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80981

Prime factors of 80981 are 47, 1723. Prime factorization of 80981 in exponential form is:

80981 = 47¹ × 1723¹

Step-3: Factors of 80975

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

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

Step-4: Factors of 80981

List of positive integer factors of 80981 that divides 80975 without a remainder.

1, 47, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80975 and 80981. The biggest common factor number is the GCF number.
So the greatest common factor 80975 and 80981 is 1.

Also check out the Least Common Multiple of 80975 and 80981