What is the Greatest Common Factor of 86957 and 86970?

Greatest common factor (GCF) of 86957 and 86970 is 13.

GCF(86957,86970) = 13

We will now calculate the prime factors of 86957 and 86970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86957 and 86970.

How to find the GCF of 86957 and 86970?

We will first find the prime factorization of 86957 and 86970. After we will calculate the factors of 86957 and 86970 and find the biggest common factor number .

Step-1: Prime Factorization of 86957

Prime factors of 86957 are 13, 6689. Prime factorization of 86957 in exponential form is:

86957 = 13¹ × 6689¹

Step-2: Prime Factorization of 86970

Prime factors of 86970 are 2, 3, 5, 13, 223. Prime factorization of 86970 in exponential form is:

86970 = 2¹ × 3¹ × 5¹ × 13¹ × 223¹

Step-3: Factors of 86957

List of positive integer factors of 86957 that divides 86957 without a remainder.

1, 13, 6689

Step-4: Factors of 86970

List of positive integer factors of 86970 that divides 86957 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 223, 390, 446, 669, 1115, 1338, 2230, 2899, 3345, 5798, 6690, 8697, 14495, 17394, 28990, 43485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86957 and 86970. The biggest common factor number is the GCF number.
So the greatest common factor 86957 and 86970 is 13.

Also check out the Least Common Multiple of 86957 and 86970