What is the Greatest Common Factor of 18974 and 18980?

Greatest common factor (GCF) of 18974 and 18980 is 2.

GCF(18974,18980) = 2

We will now calculate the prime factors of 18974 and 18980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18974 and 18980.

How to find the GCF of 18974 and 18980?

We will first find the prime factorization of 18974 and 18980. After we will calculate the factors of 18974 and 18980 and find the biggest common factor number .

Step-1: Prime Factorization of 18974

Prime factors of 18974 are 2, 53, 179. Prime factorization of 18974 in exponential form is:

18974 = 2¹ × 53¹ × 179¹

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 18974

List of positive integer factors of 18974 that divides 18974 without a remainder.

1, 2, 53, 106, 179, 358, 9487

Step-4: Factors of 18980

List of positive integer factors of 18980 that divides 18974 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 18974 and 18980. The biggest common factor number is the GCF number.
So the greatest common factor 18974 and 18980 is 2.

Also check out the Least Common Multiple of 18974 and 18980