What is the Greatest Common Factor of 44646 and 44662?

Greatest common factor (GCF) of 44646 and 44662 is 2.

GCF(44646,44662) = 2

We will now calculate the prime factors of 44646 and 44662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44646 and 44662.

How to find the GCF of 44646 and 44662?

We will first find the prime factorization of 44646 and 44662. After we will calculate the factors of 44646 and 44662 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 44662

Prime factors of 44662 are 2, 137, 163. Prime factorization of 44662 in exponential form is:

44662 = 2¹ × 137¹ × 163¹

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 44662

List of positive integer factors of 44662 that divides 44646 without a remainder.

1, 2, 137, 163, 274, 326, 22331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44646 and 44662. The biggest common factor number is the GCF number.
So the greatest common factor 44646 and 44662 is 2.

Also check out the Least Common Multiple of 44646 and 44662