What is the Greatest Common Factor of 7657 and 7670?

Greatest common factor (GCF) of 7657 and 7670 is 13.

GCF(7657,7670) = 13

We will now calculate the prime factors of 7657 and 7670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7657 and 7670.

How to find the GCF of 7657 and 7670?

We will first find the prime factorization of 7657 and 7670. After we will calculate the factors of 7657 and 7670 and find the biggest common factor number .

Step-1: Prime Factorization of 7657

Prime factors of 7657 are 13, 19, 31. Prime factorization of 7657 in exponential form is:

7657 = 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 7670

Prime factors of 7670 are 2, 5, 13, 59. Prime factorization of 7670 in exponential form is:

7670 = 2¹ × 5¹ × 13¹ × 59¹

Step-3: Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1, 13, 19, 31, 247, 403, 589

Step-4: Factors of 7670

List of positive integer factors of 7670 that divides 7657 without a remainder.

1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7657 and 7670. The biggest common factor number is the GCF number.
So the greatest common factor 7657 and 7670 is 13.

Also check out the Least Common Multiple of 7657 and 7670