What is the Greatest Common Factor of 44464 and 44477?

Greatest common factor (GCF) of 44464 and 44477 is 1.

GCF(44464,44477) = 1

We will now calculate the prime factors of 44464 and 44477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44464 and 44477.

How to find the GCF of 44464 and 44477?

We will first find the prime factorization of 44464 and 44477. After we will calculate the factors of 44464 and 44477 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44477

Prime factors of 44477 are 79, 563. Prime factorization of 44477 in exponential form is:

44477 = 79¹ × 563¹

Step-3: Factors of 44464

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

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

Step-4: Factors of 44477

List of positive integer factors of 44477 that divides 44464 without a remainder.

1, 79, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44464 and 44477. The biggest common factor number is the GCF number.
So the greatest common factor 44464 and 44477 is 1.

Also check out the Least Common Multiple of 44464 and 44477