What is the Greatest Common Factor of 18974 and 18992?

Greatest common factor (GCF) of 18974 and 18992 is 2.

GCF(18974,18992) = 2

We will now calculate the prime factors of 18974 and 18992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18974 and 18992.

How to find the GCF of 18974 and 18992?

We will first find the prime factorization of 18974 and 18992. After we will calculate the factors of 18974 and 18992 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 18992

Prime factors of 18992 are 2, 1187. Prime factorization of 18992 in exponential form is:

18992 = 2⁴ × 1187¹

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 18992

List of positive integer factors of 18992 that divides 18974 without a remainder.

1, 2, 4, 8, 16, 1187, 2374, 4748, 9496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18974 and 18992. The biggest common factor number is the GCF number.
So the greatest common factor 18974 and 18992 is 2.

Also check out the Least Common Multiple of 18974 and 18992