What is the Greatest Common Factor of 44646 and 44652?

Greatest common factor (GCF) of 44646 and 44652 is 6.

GCF(44646,44652) = 6

We will now calculate the prime factors of 44646 and 44652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44646 and 44652.

How to find the GCF of 44646 and 44652?

We will first find the prime factorization of 44646 and 44652. After we will calculate the factors of 44646 and 44652 and find the biggest common factor number .

Step-1: Prime Factorization of 44646

Prime factors of 44646 are 2, 3, 7, 1063. Prime factorization of 44646 in exponential form is:

44646 = 2¹ × 3¹ × 7¹ × 1063¹

Step-2: 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-3: Factors of 44646

List of positive integer factors of 44646 that divides 44646 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1063, 2126, 3189, 6378, 7441, 14882, 22323

Step-4: Factors of 44652

List of positive integer factors of 44652 that divides 44646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44646 and 44652. The biggest common factor number is the GCF number.
So the greatest common factor 44646 and 44652 is 6.

Also check out the Least Common Multiple of 44646 and 44652