What is the Greatest Common Factor of 44674 and 44684?

Greatest common factor (GCF) of 44674 and 44684 is 2.

GCF(44674,44684) = 2

We will now calculate the prime factors of 44674 and 44684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44674 and 44684.

How to find the GCF of 44674 and 44684?

We will first find the prime factorization of 44674 and 44684. After we will calculate the factors of 44674 and 44684 and find the biggest common factor number .

Step-1: Prime Factorization of 44674

Prime factors of 44674 are 2, 7, 3191. Prime factorization of 44674 in exponential form is:

44674 = 2¹ × 7¹ × 3191¹

Step-2: Prime Factorization of 44684

Prime factors of 44684 are 2, 11171. Prime factorization of 44684 in exponential form is:

44684 = 2² × 11171¹

Step-3: Factors of 44674

List of positive integer factors of 44674 that divides 44674 without a remainder.

1, 2, 7, 14, 3191, 6382, 22337

Step-4: Factors of 44684

List of positive integer factors of 44684 that divides 44674 without a remainder.

1, 2, 4, 11171, 22342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44674 and 44684. The biggest common factor number is the GCF number.
So the greatest common factor 44674 and 44684 is 2.

Also check out the Least Common Multiple of 44674 and 44684