What is the Greatest Common Factor of 46944 and 46957?

Greatest common factor (GCF) of 46944 and 46957 is 1.

GCF(46944,46957) = 1

We will now calculate the prime factors of 46944 and 46957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46944 and 46957.

How to find the GCF of 46944 and 46957?

We will first find the prime factorization of 46944 and 46957. After we will calculate the factors of 46944 and 46957 and find the biggest common factor number .

Step-1: Prime Factorization of 46944

Prime factors of 46944 are 2, 3, 163. Prime factorization of 46944 in exponential form is:

46944 = 2⁵ × 3² × 163¹

Step-2: Prime Factorization of 46957

Prime factors of 46957 are 46957. Prime factorization of 46957 in exponential form is:

46957 = 46957¹

Step-3: Factors of 46944

List of positive integer factors of 46944 that divides 46944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 163, 288, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5216, 5868, 7824, 11736, 15648, 23472

Step-4: Factors of 46957

List of positive integer factors of 46957 that divides 46944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46944 and 46957. The biggest common factor number is the GCF number.
So the greatest common factor 46944 and 46957 is 1.

Also check out the Least Common Multiple of 46944 and 46957