What is the Greatest Common Factor of 44478 and 44485?

Greatest common factor (GCF) of 44478 and 44485 is 7.

GCF(44478,44485) = 7

We will now calculate the prime factors of 44478 and 44485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44478 and 44485.

How to find the GCF of 44478 and 44485?

We will first find the prime factorization of 44478 and 44485. After we will calculate the factors of 44478 and 44485 and find the biggest common factor number .

Step-1: Prime Factorization of 44478

Prime factors of 44478 are 2, 3, 7, 353. Prime factorization of 44478 in exponential form is:

44478 = 2¹ × 3² × 7¹ × 353¹

Step-2: Prime Factorization of 44485

Prime factors of 44485 are 5, 7, 31, 41. Prime factorization of 44485 in exponential form is:

44485 = 5¹ × 7¹ × 31¹ × 41¹

Step-3: Factors of 44478

List of positive integer factors of 44478 that divides 44478 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 353, 706, 1059, 2118, 2471, 3177, 4942, 6354, 7413, 14826, 22239

Step-4: Factors of 44485

List of positive integer factors of 44485 that divides 44478 without a remainder.

1, 5, 7, 31, 35, 41, 155, 205, 217, 287, 1085, 1271, 1435, 6355, 8897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44478 and 44485. The biggest common factor number is the GCF number.
So the greatest common factor 44478 and 44485 is 7.

Also check out the Least Common Multiple of 44478 and 44485