What is the Greatest Common Factor of 44652 and 44664?

Greatest common factor (GCF) of 44652 and 44664 is 12.

GCF(44652,44664) = 12

We will now calculate the prime factors of 44652 and 44664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44652 and 44664.

How to find the GCF of 44652 and 44664?

We will first find the prime factorization of 44652 and 44664. After we will calculate the factors of 44652 and 44664 and find the biggest common factor number .

Step-1: Prime Factorization of 44652

Prime factors of 44652 are 2, 3, 61. Prime factorization of 44652 in exponential form is:

44652 = 2² × 3¹ × 61²

Step-2: Prime Factorization of 44664

Prime factors of 44664 are 2, 3, 1861. Prime factorization of 44664 in exponential form is:

44664 = 2³ × 3¹ × 1861¹

Step-3: Factors of 44652

List of positive integer factors of 44652 that divides 44652 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732, 3721, 7442, 11163, 14884, 22326

Step-4: Factors of 44664

List of positive integer factors of 44664 that divides 44652 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1861, 3722, 5583, 7444, 11166, 14888, 22332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44652 and 44664. The biggest common factor number is the GCF number.
So the greatest common factor 44652 and 44664 is 12.

Also check out the Least Common Multiple of 44652 and 44664