What is the Greatest Common Factor of 76667 and 76685?

Greatest common factor (GCF) of 76667 and 76685 is 1.

GCF(76667,76685) = 1

We will now calculate the prime factors of 76667 and 76685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76667 and 76685.

How to find the GCF of 76667 and 76685?

We will first find the prime factorization of 76667 and 76685. After we will calculate the factors of 76667 and 76685 and find the biggest common factor number .

Step-1: Prime Factorization of 76667

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

76667 = 76667¹

Step-2: Prime Factorization of 76685

Prime factors of 76685 are 5, 7, 313. Prime factorization of 76685 in exponential form is:

76685 = 5¹ × 7² × 313¹

Step-3: Factors of 76667

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

Step-4: Factors of 76685

List of positive integer factors of 76685 that divides 76667 without a remainder.

1, 5, 7, 35, 49, 245, 313, 1565, 2191, 10955, 15337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76667 and 76685. The biggest common factor number is the GCF number.
So the greatest common factor 76667 and 76685 is 1.

Also check out the Least Common Multiple of 76667 and 76685