What is the Greatest Common Factor of 18975 and 18980?

Greatest common factor (GCF) of 18975 and 18980 is 5.

GCF(18975,18980) = 5

We will now calculate the prime factors of 18975 and 18980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18975 and 18980.

How to find the GCF of 18975 and 18980?

We will first find the prime factorization of 18975 and 18980. After we will calculate the factors of 18975 and 18980 and find the biggest common factor number .

Step-1: Prime Factorization of 18975

Prime factors of 18975 are 3, 5, 11, 23. Prime factorization of 18975 in exponential form is:

18975 = 3¹ × 5² × 11¹ × 23¹

Step-2: 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-3: Factors of 18975

List of positive integer factors of 18975 that divides 18975 without a remainder.

1, 3, 5, 11, 15, 23, 25, 33, 55, 69, 75, 115, 165, 253, 275, 345, 575, 759, 825, 1265, 1725, 3795, 6325

Step-4: Factors of 18980

List of positive integer factors of 18980 that divides 18975 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18975 and 18980. The biggest common factor number is the GCF number.
So the greatest common factor 18975 and 18980 is 5.

Also check out the Least Common Multiple of 18975 and 18980