What is the Greatest Common Factor of 72964 and 72983?

Greatest common factor (GCF) of 72964 and 72983 is 1.

GCF(72964,72983) = 1

We will now calculate the prime factors of 72964 and 72983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72964 and 72983.

How to find the GCF of 72964 and 72983?

We will first find the prime factorization of 72964 and 72983. After we will calculate the factors of 72964 and 72983 and find the biggest common factor number .

Step-1: Prime Factorization of 72964

Prime factors of 72964 are 2, 17, 29, 37. Prime factorization of 72964 in exponential form is:

72964 = 2² × 17¹ × 29¹ × 37¹

Step-2: Prime Factorization of 72983

Prime factors of 72983 are 59, 1237. Prime factorization of 72983 in exponential form is:

72983 = 59¹ × 1237¹

Step-3: Factors of 72964

List of positive integer factors of 72964 that divides 72964 without a remainder.

1, 2, 4, 17, 29, 34, 37, 58, 68, 74, 116, 148, 493, 629, 986, 1073, 1258, 1972, 2146, 2516, 4292, 18241, 36482

Step-4: Factors of 72983

List of positive integer factors of 72983 that divides 72964 without a remainder.

1, 59, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72964 and 72983. The biggest common factor number is the GCF number.
So the greatest common factor 72964 and 72983 is 1.

Also check out the Least Common Multiple of 72964 and 72983