What is the Greatest Common Factor of 80961 and 80981?

Greatest common factor (GCF) of 80961 and 80981 is 1.

GCF(80961,80981) = 1

We will now calculate the prime factors of 80961 and 80981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80961 and 80981.

How to find the GCF of 80961 and 80981?

We will first find the prime factorization of 80961 and 80981. After we will calculate the factors of 80961 and 80981 and find the biggest common factor number .

Step-1: Prime Factorization of 80961

Prime factors of 80961 are 3, 26987. Prime factorization of 80961 in exponential form is:

80961 = 3¹ × 26987¹

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 80961

List of positive integer factors of 80961 that divides 80961 without a remainder.

1, 3, 26987

Step-4: Factors of 80981

List of positive integer factors of 80981 that divides 80961 without a remainder.

1, 47, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80961 and 80981. The biggest common factor number is the GCF number.
So the greatest common factor 80961 and 80981 is 1.

Also check out the Least Common Multiple of 80961 and 80981