What is the Greatest Common Factor of 44296 and 44310?

Greatest common factor (GCF) of 44296 and 44310 is 14.

GCF(44296,44310) = 14

We will now calculate the prime factors of 44296 and 44310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44296 and 44310.

How to find the GCF of 44296 and 44310?

We will first find the prime factorization of 44296 and 44310. After we will calculate the factors of 44296 and 44310 and find the biggest common factor number .

Step-1: Prime Factorization of 44296

Prime factors of 44296 are 2, 7, 113. Prime factorization of 44296 in exponential form is:

44296 = 2³ × 7² × 113¹

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 44296

List of positive integer factors of 44296 that divides 44296 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 113, 196, 226, 392, 452, 791, 904, 1582, 3164, 5537, 6328, 11074, 22148

Step-4: Factors of 44310

List of positive integer factors of 44310 that divides 44296 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 44296 and 44310. The biggest common factor number is the GCF number.
So the greatest common factor 44296 and 44310 is 14.

Also check out the Least Common Multiple of 44296 and 44310