What is the Greatest Common Factor of 44980 and 44993?

Greatest common factor (GCF) of 44980 and 44993 is 13.

GCF(44980,44993) = 13

We will now calculate the prime factors of 44980 and 44993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44980 and 44993.

How to find the GCF of 44980 and 44993?

We will first find the prime factorization of 44980 and 44993. After we will calculate the factors of 44980 and 44993 and find the biggest common factor number .

Step-1: Prime Factorization of 44980

Prime factors of 44980 are 2, 5, 13, 173. Prime factorization of 44980 in exponential form is:

44980 = 2² × 5¹ × 13¹ × 173¹

Step-2: Prime Factorization of 44993

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

44993 = 13¹ × 3461¹

Step-3: Factors of 44980

List of positive integer factors of 44980 that divides 44980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 173, 260, 346, 692, 865, 1730, 2249, 3460, 4498, 8996, 11245, 22490

Step-4: Factors of 44993

List of positive integer factors of 44993 that divides 44980 without a remainder.

1, 13, 3461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44980 and 44993. The biggest common factor number is the GCF number.
So the greatest common factor 44980 and 44993 is 13.

Also check out the Least Common Multiple of 44980 and 44993