What is the Greatest Common Factor of 44303 and 44310?

Greatest common factor (GCF) of 44303 and 44310 is 7.

GCF(44303,44310) = 7

We will now calculate the prime factors of 44303 and 44310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44303 and 44310.

How to find the GCF of 44303 and 44310?

We will first find the prime factorization of 44303 and 44310. After we will calculate the factors of 44303 and 44310 and find the biggest common factor number .

Step-1: Prime Factorization of 44303

Prime factors of 44303 are 7, 6329. Prime factorization of 44303 in exponential form is:

44303 = 7¹ × 6329¹

Step-2: 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-3: Factors of 44303

List of positive integer factors of 44303 that divides 44303 without a remainder.

1, 7, 6329

Step-4: Factors of 44310

List of positive integer factors of 44310 that divides 44303 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44303 and 44310. The biggest common factor number is the GCF number.
So the greatest common factor 44303 and 44310 is 7.

Also check out the Least Common Multiple of 44303 and 44310