What is the Greatest Common Factor of 44636 and 44648?

Greatest common factor (GCF) of 44636 and 44648 is 4.

GCF(44636,44648) = 4

We will now calculate the prime factors of 44636 and 44648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44636 and 44648.

How to find the GCF of 44636 and 44648?

We will first find the prime factorization of 44636 and 44648. After we will calculate the factors of 44636 and 44648 and find the biggest common factor number .

Step-1: Prime Factorization of 44636

Prime factors of 44636 are 2, 11159. Prime factorization of 44636 in exponential form is:

44636 = 2² × 11159¹

Step-2: Prime Factorization of 44648

Prime factors of 44648 are 2, 5581. Prime factorization of 44648 in exponential form is:

44648 = 2³ × 5581¹

Step-3: Factors of 44636

List of positive integer factors of 44636 that divides 44636 without a remainder.

1, 2, 4, 11159, 22318

Step-4: Factors of 44648

List of positive integer factors of 44648 that divides 44636 without a remainder.

1, 2, 4, 8, 5581, 11162, 22324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44636 and 44648. The biggest common factor number is the GCF number.
So the greatest common factor 44636 and 44648 is 4.

Also check out the Least Common Multiple of 44636 and 44648