What is the Greatest Common Factor of 18980 and 18993?

Greatest common factor (GCF) of 18980 and 18993 is 13.

GCF(18980,18993) = 13

We will now calculate the prime factors of 18980 and 18993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18980 and 18993.

How to find the GCF of 18980 and 18993?

We will first find the prime factorization of 18980 and 18993. After we will calculate the factors of 18980 and 18993 and find the biggest common factor number .

Step-1: Prime Factorization of 18980

Prime factors of 18980 are 2, 5, 13, 73. Prime factorization of 18980 in exponential form is:

18980 = 2² × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 18993

Prime factors of 18993 are 3, 13, 487. Prime factorization of 18993 in exponential form is:

18993 = 3¹ × 13¹ × 487¹

Step-3: Factors of 18980

List of positive integer factors of 18980 that divides 18980 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 73, 130, 146, 260, 292, 365, 730, 949, 1460, 1898, 3796, 4745, 9490

Step-4: Factors of 18993

List of positive integer factors of 18993 that divides 18980 without a remainder.

1, 3, 13, 39, 487, 1461, 6331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18980 and 18993. The biggest common factor number is the GCF number.
So the greatest common factor 18980 and 18993 is 13.

Also check out the Least Common Multiple of 18980 and 18993