What is the Greatest Common Factor of 44380 and 44395?

Greatest common factor (GCF) of 44380 and 44395 is 5.

GCF(44380,44395) = 5

We will now calculate the prime factors of 44380 and 44395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44380 and 44395.

How to find the GCF of 44380 and 44395?

We will first find the prime factorization of 44380 and 44395. After we will calculate the factors of 44380 and 44395 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44395

Prime factors of 44395 are 5, 13, 683. Prime factorization of 44395 in exponential form is:

44395 = 5¹ × 13¹ × 683¹

Step-3: Factors of 44380

List of positive integer factors of 44380 that divides 44380 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

Step-4: Factors of 44395

List of positive integer factors of 44395 that divides 44380 without a remainder.

1, 5, 13, 65, 683, 3415, 8879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44380 and 44395. The biggest common factor number is the GCF number.
So the greatest common factor 44380 and 44395 is 5.

Also check out the Least Common Multiple of 44380 and 44395