What is the Greatest Common Factor of 8970 and 8983?

Greatest common factor (GCF) of 8970 and 8983 is 13.

GCF(8970,8983) = 13

We will now calculate the prime factors of 8970 and 8983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8970 and 8983.

How to find the GCF of 8970 and 8983?

We will first find the prime factorization of 8970 and 8983. After we will calculate the factors of 8970 and 8983 and find the biggest common factor number .

Step-1: Prime Factorization of 8970

Prime factors of 8970 are 2, 3, 5, 13, 23. Prime factorization of 8970 in exponential form is:

8970 = 2¹ × 3¹ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 8983

Prime factors of 8983 are 13, 691. Prime factorization of 8983 in exponential form is:

8983 = 13¹ × 691¹

Step-3: Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485

Step-4: Factors of 8983

List of positive integer factors of 8983 that divides 8970 without a remainder.

1, 13, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8970 and 8983. The biggest common factor number is the GCF number.
So the greatest common factor 8970 and 8983 is 13.

Also check out the Least Common Multiple of 8970 and 8983