What is the Greatest Common Factor of 46944 and 46948?

Greatest common factor (GCF) of 46944 and 46948 is 4.

GCF(46944,46948) = 4

We will now calculate the prime factors of 46944 and 46948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46944 and 46948.

How to find the GCF of 46944 and 46948?

We will first find the prime factorization of 46944 and 46948. After we will calculate the factors of 46944 and 46948 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 46948

Prime factors of 46948 are 2, 11, 97. Prime factorization of 46948 in exponential form is:

46948 = 2² × 11² × 97¹

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 46948

List of positive integer factors of 46948 that divides 46944 without a remainder.

1, 2, 4, 11, 22, 44, 97, 121, 194, 242, 388, 484, 1067, 2134, 4268, 11737, 23474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46944 and 46948. The biggest common factor number is the GCF number.
So the greatest common factor 46944 and 46948 is 4.

Also check out the Least Common Multiple of 46944 and 46948