What is the Greatest Common Factor of 44992 and 45012?

Greatest common factor (GCF) of 44992 and 45012 is 4.

GCF(44992,45012) = 4

We will now calculate the prime factors of 44992 and 45012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44992 and 45012.

How to find the GCF of 44992 and 45012?

We will first find the prime factorization of 44992 and 45012. After we will calculate the factors of 44992 and 45012 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45012

Prime factors of 45012 are 2, 3, 11, 31. Prime factorization of 45012 in exponential form is:

45012 = 2² × 3¹ × 11² × 31¹

Step-3: Factors of 44992

List of positive integer factors of 44992 that divides 44992 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

Step-4: Factors of 45012

List of positive integer factors of 45012 that divides 44992 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 121, 124, 132, 186, 242, 341, 363, 372, 484, 682, 726, 1023, 1364, 1452, 2046, 3751, 4092, 7502, 11253, 15004, 22506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44992 and 45012. The biggest common factor number is the GCF number.
So the greatest common factor 44992 and 45012 is 4.

Also check out the Least Common Multiple of 44992 and 45012