What is the Greatest Common Factor of 76659 and 76670?

Greatest common factor (GCF) of 76659 and 76670 is 11.

GCF(76659,76670) = 11

We will now calculate the prime factors of 76659 and 76670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76659 and 76670.

How to find the GCF of 76659 and 76670?

We will first find the prime factorization of 76659 and 76670. After we will calculate the factors of 76659 and 76670 and find the biggest common factor number .

Step-1: Prime Factorization of 76659

Prime factors of 76659 are 3, 11, 23, 101. Prime factorization of 76659 in exponential form is:

76659 = 3¹ × 11¹ × 23¹ × 101¹

Step-2: Prime Factorization of 76670

Prime factors of 76670 are 2, 5, 11, 17, 41. Prime factorization of 76670 in exponential form is:

76670 = 2¹ × 5¹ × 11¹ × 17¹ × 41¹

Step-3: Factors of 76659

List of positive integer factors of 76659 that divides 76659 without a remainder.

1, 3, 11, 23, 33, 69, 101, 253, 303, 759, 1111, 2323, 3333, 6969, 25553

Step-4: Factors of 76670

List of positive integer factors of 76670 that divides 76659 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 41, 55, 82, 85, 110, 170, 187, 205, 374, 410, 451, 697, 902, 935, 1394, 1870, 2255, 3485, 4510, 6970, 7667, 15334, 38335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76659 and 76670. The biggest common factor number is the GCF number.
So the greatest common factor 76659 and 76670 is 11.

Also check out the Least Common Multiple of 76659 and 76670