What is the Greatest Common Factor of 44450 and 44464?

Greatest common factor (GCF) of 44450 and 44464 is 14.

GCF(44450,44464) = 14

We will now calculate the prime factors of 44450 and 44464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44450 and 44464.

How to find the GCF of 44450 and 44464?

We will first find the prime factorization of 44450 and 44464. After we will calculate the factors of 44450 and 44464 and find the biggest common factor number .

Step-1: Prime Factorization of 44450

Prime factors of 44450 are 2, 5, 7, 127. Prime factorization of 44450 in exponential form is:

44450 = 2¹ × 5² × 7¹ × 127¹

Step-2: Prime Factorization of 44464

Prime factors of 44464 are 2, 7, 397. Prime factorization of 44464 in exponential form is:

44464 = 2⁴ × 7¹ × 397¹

Step-3: Factors of 44450

List of positive integer factors of 44450 that divides 44450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 127, 175, 254, 350, 635, 889, 1270, 1778, 3175, 4445, 6350, 8890, 22225

Step-4: Factors of 44464

List of positive integer factors of 44464 that divides 44450 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 397, 794, 1588, 2779, 3176, 5558, 6352, 11116, 22232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44450 and 44464. The biggest common factor number is the GCF number.
So the greatest common factor 44450 and 44464 is 14.

Also check out the Least Common Multiple of 44450 and 44464