What is the Greatest Common Factor of 72971 and 72980?

Greatest common factor (GCF) of 72971 and 72980 is 1.

GCF(72971,72980) = 1

We will now calculate the prime factors of 72971 and 72980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72971 and 72980.

How to find the GCF of 72971 and 72980?

We will first find the prime factorization of 72971 and 72980. After we will calculate the factors of 72971 and 72980 and find the biggest common factor number .

Step-1: Prime Factorization of 72971

Prime factors of 72971 are 43, 1697. Prime factorization of 72971 in exponential form is:

72971 = 43¹ × 1697¹

Step-2: Prime Factorization of 72980

Prime factors of 72980 are 2, 5, 41, 89. Prime factorization of 72980 in exponential form is:

72980 = 2² × 5¹ × 41¹ × 89¹

Step-3: Factors of 72971

List of positive integer factors of 72971 that divides 72971 without a remainder.

1, 43, 1697

Step-4: Factors of 72980

List of positive integer factors of 72980 that divides 72971 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 89, 164, 178, 205, 356, 410, 445, 820, 890, 1780, 3649, 7298, 14596, 18245, 36490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72971 and 72980. The biggest common factor number is the GCF number.
So the greatest common factor 72971 and 72980 is 1.

Also check out the Least Common Multiple of 72971 and 72980