What is the Greatest Common Factor of 72954 and 72964?

Greatest common factor (GCF) of 72954 and 72964 is 2.

GCF(72954,72964) = 2

We will now calculate the prime factors of 72954 and 72964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72954 and 72964.

How to find the GCF of 72954 and 72964?

We will first find the prime factorization of 72954 and 72964. After we will calculate the factors of 72954 and 72964 and find the biggest common factor number .

Step-1: Prime Factorization of 72954

Prime factors of 72954 are 2, 3, 7, 193. Prime factorization of 72954 in exponential form is:

72954 = 2¹ × 3³ × 7¹ × 193¹

Step-2: 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-3: Factors of 72954

List of positive integer factors of 72954 that divides 72954 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 193, 378, 386, 579, 1158, 1351, 1737, 2702, 3474, 4053, 5211, 8106, 10422, 12159, 24318, 36477

Step-4: Factors of 72964

List of positive integer factors of 72964 that divides 72954 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72954 and 72964. The biggest common factor number is the GCF number.
So the greatest common factor 72954 and 72964 is 2.

Also check out the Least Common Multiple of 72954 and 72964