What is the Greatest Common Factor of 76705 and 76715?

Greatest common factor (GCF) of 76705 and 76715 is 5.

GCF(76705,76715) = 5

We will now calculate the prime factors of 76705 and 76715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76705 and 76715.

How to find the GCF of 76705 and 76715?

We will first find the prime factorization of 76705 and 76715. After we will calculate the factors of 76705 and 76715 and find the biggest common factor number .

Step-1: Prime Factorization of 76705

Prime factors of 76705 are 5, 23, 29. Prime factorization of 76705 in exponential form is:

76705 = 5¹ × 23² × 29¹

Step-2: Prime Factorization of 76715

Prime factors of 76715 are 5, 67, 229. Prime factorization of 76715 in exponential form is:

76715 = 5¹ × 67¹ × 229¹

Step-3: Factors of 76705

List of positive integer factors of 76705 that divides 76705 without a remainder.

1, 5, 23, 29, 115, 145, 529, 667, 2645, 3335, 15341

Step-4: Factors of 76715

List of positive integer factors of 76715 that divides 76705 without a remainder.

1, 5, 67, 229, 335, 1145, 15343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76705 and 76715. The biggest common factor number is the GCF number.
So the greatest common factor 76705 and 76715 is 5.

Also check out the Least Common Multiple of 76705 and 76715