What is the Greatest Common Factor of 8974 and 8993?

Greatest common factor (GCF) of 8974 and 8993 is 1.

GCF(8974,8993) = 1

We will now calculate the prime factors of 8974 and 8993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8974 and 8993.

How to find the GCF of 8974 and 8993?

We will first find the prime factorization of 8974 and 8993. After we will calculate the factors of 8974 and 8993 and find the biggest common factor number .

Step-1: Prime Factorization of 8974

Prime factors of 8974 are 2, 7, 641. Prime factorization of 8974 in exponential form is:

8974 = 2¹ × 7¹ × 641¹

Step-2: Prime Factorization of 8993

Prime factors of 8993 are 17, 23. Prime factorization of 8993 in exponential form is:

8993 = 17¹ × 23²

Step-3: Factors of 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1, 2, 7, 14, 641, 1282, 4487

Step-4: Factors of 8993

List of positive integer factors of 8993 that divides 8974 without a remainder.

1, 17, 23, 391, 529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8974 and 8993. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8993 is 1.

Also check out the Least Common Multiple of 8974 and 8993