What is the Greatest Common Factor of 72970 and 72986?

Greatest common factor (GCF) of 72970 and 72986 is 2.

GCF(72970,72986) = 2

We will now calculate the prime factors of 72970 and 72986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72970 and 72986.

How to find the GCF of 72970 and 72986?

We will first find the prime factorization of 72970 and 72986. After we will calculate the factors of 72970 and 72986 and find the biggest common factor number .

Step-1: Prime Factorization of 72970

Prime factors of 72970 are 2, 5, 7297. Prime factorization of 72970 in exponential form is:

72970 = 2¹ × 5¹ × 7297¹

Step-2: Prime Factorization of 72986

Prime factors of 72986 are 2, 36493. Prime factorization of 72986 in exponential form is:

72986 = 2¹ × 36493¹

Step-3: Factors of 72970

List of positive integer factors of 72970 that divides 72970 without a remainder.

1, 2, 5, 10, 7297, 14594, 36485

Step-4: Factors of 72986

List of positive integer factors of 72986 that divides 72970 without a remainder.

1, 2, 36493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72970 and 72986. The biggest common factor number is the GCF number.
So the greatest common factor 72970 and 72986 is 2.

Also check out the Least Common Multiple of 72970 and 72986