What is the Greatest Common Factor of 44972 and 44992?

Greatest common factor (GCF) of 44972 and 44992 is 4.

GCF(44972,44992) = 4

We will now calculate the prime factors of 44972 and 44992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44972 and 44992.

How to find the GCF of 44972 and 44992?

We will first find the prime factorization of 44972 and 44992. After we will calculate the factors of 44972 and 44992 and find the biggest common factor number .

Step-1: Prime Factorization of 44972

Prime factors of 44972 are 2, 11243. Prime factorization of 44972 in exponential form is:

44972 = 2² × 11243¹

Step-2: Prime Factorization of 44992

Prime factors of 44992 are 2, 19, 37. Prime factorization of 44992 in exponential form is:

44992 = 2⁶ × 19¹ × 37¹

Step-3: Factors of 44972

List of positive integer factors of 44972 that divides 44972 without a remainder.

1, 2, 4, 11243, 22486

Step-4: Factors of 44992

List of positive integer factors of 44992 that divides 44972 without a remainder.

1, 2, 4, 8, 16, 19, 32, 37, 38, 64, 74, 76, 148, 152, 296, 304, 592, 608, 703, 1184, 1216, 1406, 2368, 2812, 5624, 11248, 22496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44972 and 44992. The biggest common factor number is the GCF number.
So the greatest common factor 44972 and 44992 is 4.

Also check out the Least Common Multiple of 44972 and 44992