What is the Greatest Common Factor of 72952 and 72957?

Greatest common factor (GCF) of 72952 and 72957 is 1.

GCF(72952,72957) = 1

We will now calculate the prime factors of 72952 and 72957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72952 and 72957.

How to find the GCF of 72952 and 72957?

We will first find the prime factorization of 72952 and 72957. After we will calculate the factors of 72952 and 72957 and find the biggest common factor number .

Step-1: Prime Factorization of 72952

Prime factors of 72952 are 2, 11, 829. Prime factorization of 72952 in exponential form is:

72952 = 2³ × 11¹ × 829¹

Step-2: Prime Factorization of 72957

Prime factors of 72957 are 3, 83, 293. Prime factorization of 72957 in exponential form is:

72957 = 3¹ × 83¹ × 293¹

Step-3: Factors of 72952

List of positive integer factors of 72952 that divides 72952 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 829, 1658, 3316, 6632, 9119, 18238, 36476

Step-4: Factors of 72957

List of positive integer factors of 72957 that divides 72952 without a remainder.

1, 3, 83, 249, 293, 879, 24319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72952 and 72957. The biggest common factor number is the GCF number.
So the greatest common factor 72952 and 72957 is 1.

Also check out the Least Common Multiple of 72952 and 72957