What is the Greatest Common Factor of 76693 and 76707?

Greatest common factor (GCF) of 76693 and 76707 is 1.

GCF(76693,76707) = 1

We will now calculate the prime factors of 76693 and 76707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76693 and 76707.

How to find the GCF of 76693 and 76707?

We will first find the prime factorization of 76693 and 76707. After we will calculate the factors of 76693 and 76707 and find the biggest common factor number .

Step-1: Prime Factorization of 76693

Prime factors of 76693 are 271, 283. Prime factorization of 76693 in exponential form is:

76693 = 271¹ × 283¹

Step-2: Prime Factorization of 76707

Prime factors of 76707 are 3, 947. Prime factorization of 76707 in exponential form is:

76707 = 3⁴ × 947¹

Step-3: Factors of 76693

List of positive integer factors of 76693 that divides 76693 without a remainder.

1, 271, 283

Step-4: Factors of 76707

List of positive integer factors of 76707 that divides 76693 without a remainder.

1, 3, 9, 27, 81, 947, 2841, 8523, 25569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76693 and 76707. The biggest common factor number is the GCF number.
So the greatest common factor 76693 and 76707 is 1.

Also check out the Least Common Multiple of 76693 and 76707