What is the Greatest Common Factor of 44993 and 45006?

Greatest common factor (GCF) of 44993 and 45006 is 13.

GCF(44993,45006) = 13

We will now calculate the prime factors of 44993 and 45006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44993 and 45006.

How to find the GCF of 44993 and 45006?

We will first find the prime factorization of 44993 and 45006. After we will calculate the factors of 44993 and 45006 and find the biggest common factor number .

Step-1: Prime Factorization of 44993

Prime factors of 44993 are 13, 3461. Prime factorization of 44993 in exponential form is:

44993 = 13¹ × 3461¹

Step-2: Prime Factorization of 45006

Prime factors of 45006 are 2, 3, 13, 577. Prime factorization of 45006 in exponential form is:

45006 = 2¹ × 3¹ × 13¹ × 577¹

Step-3: Factors of 44993

List of positive integer factors of 44993 that divides 44993 without a remainder.

1, 13, 3461

Step-4: Factors of 45006

List of positive integer factors of 45006 that divides 44993 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 577, 1154, 1731, 3462, 7501, 15002, 22503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44993 and 45006. The biggest common factor number is the GCF number.
So the greatest common factor 44993 and 45006 is 13.

Also check out the Least Common Multiple of 44993 and 45006