What is the Greatest Common Factor of 76700 and 76714?

Greatest common factor (GCF) of 76700 and 76714 is 2.

GCF(76700,76714) = 2

We will now calculate the prime factors of 76700 and 76714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76700 and 76714.

How to find the GCF of 76700 and 76714?

We will first find the prime factorization of 76700 and 76714. After we will calculate the factors of 76700 and 76714 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 76714

Prime factors of 76714 are 2, 11, 317. Prime factorization of 76714 in exponential form is:

76714 = 2¹ × 11² × 317¹

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 76714

List of positive integer factors of 76714 that divides 76700 without a remainder.

1, 2, 11, 22, 121, 242, 317, 634, 3487, 6974, 38357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76700 and 76714. The biggest common factor number is the GCF number.
So the greatest common factor 76700 and 76714 is 2.

Also check out the Least Common Multiple of 76700 and 76714