What is the Greatest Common Factor of 76705 and 76725?

Greatest common factor (GCF) of 76705 and 76725 is 5.

GCF(76705,76725) = 5

We will now calculate the prime factors of 76705 and 76725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76705 and 76725.

How to find the GCF of 76705 and 76725?

We will first find the prime factorization of 76705 and 76725. After we will calculate the factors of 76705 and 76725 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 76725

Prime factors of 76725 are 3, 5, 11, 31. Prime factorization of 76725 in exponential form is:

76725 = 3² × 5² × 11¹ × 31¹

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 76725

List of positive integer factors of 76725 that divides 76705 without a remainder.

1, 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99, 155, 165, 225, 275, 279, 341, 465, 495, 775, 825, 1023, 1395, 1705, 2325, 2475, 3069, 5115, 6975, 8525, 15345, 25575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76705 and 76725. The biggest common factor number is the GCF number.
So the greatest common factor 76705 and 76725 is 5.

Also check out the Least Common Multiple of 76705 and 76725