What is the Greatest Common Factor of 18971 and 18976?

Greatest common factor (GCF) of 18971 and 18976 is 1.

GCF(18971,18976) = 1

We will now calculate the prime factors of 18971 and 18976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18971 and 18976.

How to find the GCF of 18971 and 18976?

We will first find the prime factorization of 18971 and 18976. After we will calculate the factors of 18971 and 18976 and find the biggest common factor number .

Step-1: Prime Factorization of 18971

Prime factors of 18971 are 61, 311. Prime factorization of 18971 in exponential form is:

18971 = 61¹ × 311¹

Step-2: Prime Factorization of 18976

Prime factors of 18976 are 2, 593. Prime factorization of 18976 in exponential form is:

18976 = 2⁵ × 593¹

Step-3: Factors of 18971

List of positive integer factors of 18971 that divides 18971 without a remainder.

1, 61, 311

Step-4: Factors of 18976

List of positive integer factors of 18976 that divides 18971 without a remainder.

1, 2, 4, 8, 16, 32, 593, 1186, 2372, 4744, 9488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18971 and 18976. The biggest common factor number is the GCF number.
So the greatest common factor 18971 and 18976 is 1.

Also check out the Least Common Multiple of 18971 and 18976