What is the Greatest Common Factor of 44664 and 44676?

Greatest common factor (GCF) of 44664 and 44676 is 12.

GCF(44664,44676) = 12

We will now calculate the prime factors of 44664 and 44676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44664 and 44676.

How to find the GCF of 44664 and 44676?

We will first find the prime factorization of 44664 and 44676. After we will calculate the factors of 44664 and 44676 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44676

Prime factors of 44676 are 2, 3, 17, 73. Prime factorization of 44676 in exponential form is:

44676 = 2² × 3² × 17¹ × 73¹

Step-3: Factors of 44664

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

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

Step-4: Factors of 44676

List of positive integer factors of 44676 that divides 44664 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 73, 102, 146, 153, 204, 219, 292, 306, 438, 612, 657, 876, 1241, 1314, 2482, 2628, 3723, 4964, 7446, 11169, 14892, 22338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44664 and 44676. The biggest common factor number is the GCF number.
So the greatest common factor 44664 and 44676 is 12.

Also check out the Least Common Multiple of 44664 and 44676