What is the Greatest Common Factor of 76685 and 76700?

Greatest common factor (GCF) of 76685 and 76700 is 5.

GCF(76685,76700) = 5

We will now calculate the prime factors of 76685 and 76700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76685 and 76700.

How to find the GCF of 76685 and 76700?

We will first find the prime factorization of 76685 and 76700. After we will calculate the factors of 76685 and 76700 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 76685

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

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

Step-4: Factors of 76700

List of positive integer factors of 76700 that divides 76685 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76685 and 76700. The biggest common factor number is the GCF number.
So the greatest common factor 76685 and 76700 is 5.

Also check out the Least Common Multiple of 76685 and 76700