What is the Greatest Common Factor of 18974 and 18990?

Greatest common factor (GCF) of 18974 and 18990 is 2.

GCF(18974,18990) = 2

We will now calculate the prime factors of 18974 and 18990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18974 and 18990.

How to find the GCF of 18974 and 18990?

We will first find the prime factorization of 18974 and 18990. After we will calculate the factors of 18974 and 18990 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 18990

Prime factors of 18990 are 2, 3, 5, 211. Prime factorization of 18990 in exponential form is:

18990 = 2¹ × 3² × 5¹ × 211¹

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 18990

List of positive integer factors of 18990 that divides 18974 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 211, 422, 633, 1055, 1266, 1899, 2110, 3165, 3798, 6330, 9495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18974 and 18990. The biggest common factor number is the GCF number.
So the greatest common factor 18974 and 18990 is 2.

Also check out the Least Common Multiple of 18974 and 18990