What is the Greatest Common Factor of 76700 and 76705?

Greatest common factor (GCF) of 76700 and 76705 is 5.

GCF(76700,76705) = 5

We will now calculate the prime factors of 76700 and 76705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76700 and 76705.

How to find the GCF of 76700 and 76705?

We will first find the prime factorization of 76700 and 76705. After we will calculate the factors of 76700 and 76705 and find the biggest common factor number .

Step-1: Prime Factorization of 76700

Prime factors of 76700 are 2, 5, 13, 59. Prime factorization of 76700 in exponential form is:

76700 = 2² × 5² × 13¹ × 59¹

Step-2: 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-3: Factors of 76700

List of positive integer factors of 76700 that divides 76700 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 59, 65, 100, 118, 130, 236, 260, 295, 325, 590, 650, 767, 1180, 1300, 1475, 1534, 2950, 3068, 3835, 5900, 7670, 15340, 19175, 38350

Step-4: Factors of 76705

List of positive integer factors of 76705 that divides 76700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76700 and 76705. The biggest common factor number is the GCF number.
So the greatest common factor 76700 and 76705 is 5.

Also check out the Least Common Multiple of 76700 and 76705