What is the Greatest Common Factor of 76659 and 76667?

Greatest common factor (GCF) of 76659 and 76667 is 1.

GCF(76659,76667) = 1

We will now calculate the prime factors of 76659 and 76667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76659 and 76667.

How to find the GCF of 76659 and 76667?

We will first find the prime factorization of 76659 and 76667. After we will calculate the factors of 76659 and 76667 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 76667

Prime factors of 76667 are 76667. Prime factorization of 76667 in exponential form is:

76667 = 76667¹

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 76667

List of positive integer factors of 76667 that divides 76659 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76659 and 76667. The biggest common factor number is the GCF number.
So the greatest common factor 76659 and 76667 is 1.

Also check out the Least Common Multiple of 76659 and 76667