What is the Greatest Common Factor of 44310 and 44317?

Greatest common factor (GCF) of 44310 and 44317 is 7.

GCF(44310,44317) = 7

We will now calculate the prime factors of 44310 and 44317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44310 and 44317.

How to find the GCF of 44310 and 44317?

We will first find the prime factorization of 44310 and 44317. After we will calculate the factors of 44310 and 44317 and find the biggest common factor number .

Step-1: Prime Factorization of 44310

Prime factors of 44310 are 2, 3, 5, 7, 211. Prime factorization of 44310 in exponential form is:

44310 = 2¹ × 3¹ × 5¹ × 7¹ × 211¹

Step-2: Prime Factorization of 44317

Prime factors of 44317 are 7, 13, 487. Prime factorization of 44317 in exponential form is:

44317 = 7¹ × 13¹ × 487¹

Step-3: Factors of 44310

List of positive integer factors of 44310 that divides 44310 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 211, 422, 633, 1055, 1266, 1477, 2110, 2954, 3165, 4431, 6330, 7385, 8862, 14770, 22155

Step-4: Factors of 44317

List of positive integer factors of 44317 that divides 44310 without a remainder.

1, 7, 13, 91, 487, 3409, 6331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44310 and 44317. The biggest common factor number is the GCF number.
So the greatest common factor 44310 and 44317 is 7.

Also check out the Least Common Multiple of 44310 and 44317