What is the Greatest Common Factor of 44364 and 44374?

Greatest common factor (GCF) of 44364 and 44374 is 2.

GCF(44364,44374) = 2

We will now calculate the prime factors of 44364 and 44374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44364 and 44374.

How to find the GCF of 44364 and 44374?

We will first find the prime factorization of 44364 and 44374. After we will calculate the factors of 44364 and 44374 and find the biggest common factor number .

Step-1: Prime Factorization of 44364

Prime factors of 44364 are 2, 3, 3697. Prime factorization of 44364 in exponential form is:

44364 = 2² × 3¹ × 3697¹

Step-2: Prime Factorization of 44374

Prime factors of 44374 are 2, 11, 2017. Prime factorization of 44374 in exponential form is:

44374 = 2¹ × 11¹ × 2017¹

Step-3: Factors of 44364

List of positive integer factors of 44364 that divides 44364 without a remainder.

1, 2, 3, 4, 6, 12, 3697, 7394, 11091, 14788, 22182

Step-4: Factors of 44374

List of positive integer factors of 44374 that divides 44364 without a remainder.

1, 2, 11, 22, 2017, 4034, 22187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44364 and 44374. The biggest common factor number is the GCF number.
So the greatest common factor 44364 and 44374 is 2.

Also check out the Least Common Multiple of 44364 and 44374