What is the Greatest Common Factor of 72954 and 72962?

Greatest common factor (GCF) of 72954 and 72962 is 2.

GCF(72954,72962) = 2

We will now calculate the prime factors of 72954 and 72962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72954 and 72962.

How to find the GCF of 72954 and 72962?

We will first find the prime factorization of 72954 and 72962. After we will calculate the factors of 72954 and 72962 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 72962

Prime factors of 72962 are 2, 191. Prime factorization of 72962 in exponential form is:

72962 = 2¹ × 191²

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 72962

List of positive integer factors of 72962 that divides 72954 without a remainder.

1, 2, 191, 382, 36481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72954 and 72962. The biggest common factor number is the GCF number.
So the greatest common factor 72954 and 72962 is 2.

Also check out the Least Common Multiple of 72954 and 72962