What is the Greatest Common Factor of 44364 and 44380?

Greatest common factor (GCF) of 44364 and 44380 is 4.

GCF(44364,44380) = 4

We will now calculate the prime factors of 44364 and 44380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44364 and 44380.

How to find the GCF of 44364 and 44380?

We will first find the prime factorization of 44364 and 44380. After we will calculate the factors of 44364 and 44380 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 44380

Prime factors of 44380 are 2, 5, 7, 317. Prime factorization of 44380 in exponential form is:

44380 = 2² × 5¹ × 7¹ × 317¹

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 44380

List of positive integer factors of 44380 that divides 44364 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 317, 634, 1268, 1585, 2219, 3170, 4438, 6340, 8876, 11095, 22190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44364 and 44380. The biggest common factor number is the GCF number.
So the greatest common factor 44364 and 44380 is 4.

Also check out the Least Common Multiple of 44364 and 44380