What is the Greatest Common Factor of 44473 and 44486?

Greatest common factor (GCF) of 44473 and 44486 is 13.

GCF(44473,44486) = 13

We will now calculate the prime factors of 44473 and 44486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44473 and 44486.

How to find the GCF of 44473 and 44486?

We will first find the prime factorization of 44473 and 44486. After we will calculate the factors of 44473 and 44486 and find the biggest common factor number .

Step-1: Prime Factorization of 44473

Prime factors of 44473 are 11, 13, 311. Prime factorization of 44473 in exponential form is:

44473 = 11¹ × 13¹ × 311¹

Step-2: Prime Factorization of 44486

Prime factors of 44486 are 2, 13, 29, 59. Prime factorization of 44486 in exponential form is:

44486 = 2¹ × 13¹ × 29¹ × 59¹

Step-3: Factors of 44473

List of positive integer factors of 44473 that divides 44473 without a remainder.

1, 11, 13, 143, 311, 3421, 4043

Step-4: Factors of 44486

List of positive integer factors of 44486 that divides 44473 without a remainder.

1, 2, 13, 26, 29, 58, 59, 118, 377, 754, 767, 1534, 1711, 3422, 22243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44473 and 44486. The biggest common factor number is the GCF number.
So the greatest common factor 44473 and 44486 is 13.

Also check out the Least Common Multiple of 44473 and 44486