What is the Greatest Common Factor of 8680 and 8696?

Greatest common factor (GCF) of 8680 and 8696 is 8.

GCF(8680,8696) = 8

We will now calculate the prime factors of 8680 and 8696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8680 and 8696.

How to find the GCF of 8680 and 8696?

We will first find the prime factorization of 8680 and 8696. After we will calculate the factors of 8680 and 8696 and find the biggest common factor number .

Step-1: Prime Factorization of 8680

Prime factors of 8680 are 2, 5, 7, 31. Prime factorization of 8680 in exponential form is:

8680 = 2³ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 8696

Prime factors of 8696 are 2, 1087. Prime factorization of 8696 in exponential form is:

8696 = 2³ × 1087¹

Step-3: Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340

Step-4: Factors of 8696

List of positive integer factors of 8696 that divides 8680 without a remainder.

1, 2, 4, 8, 1087, 2174, 4348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8680 and 8696. The biggest common factor number is the GCF number.
So the greatest common factor 8680 and 8696 is 8.

Also check out the Least Common Multiple of 8680 and 8696