What is the Greatest Common Factor of 72954 and 72971?

Greatest common factor (GCF) of 72954 and 72971 is 1.

GCF(72954,72971) = 1

We will now calculate the prime factors of 72954 and 72971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72954 and 72971.

How to find the GCF of 72954 and 72971?

We will first find the prime factorization of 72954 and 72971. After we will calculate the factors of 72954 and 72971 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 72971

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

72971 = 43¹ × 1697¹

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 72971

List of positive integer factors of 72971 that divides 72954 without a remainder.

1, 43, 1697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72954 and 72971. The biggest common factor number is the GCF number.
So the greatest common factor 72954 and 72971 is 1.

Also check out the Least Common Multiple of 72954 and 72971