What is the Greatest Common Factor of 76600 and 76614?

Greatest common factor (GCF) of 76600 and 76614 is 2.

GCF(76600,76614) = 2

We will now calculate the prime factors of 76600 and 76614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76600 and 76614.

How to find the GCF of 76600 and 76614?

We will first find the prime factorization of 76600 and 76614. After we will calculate the factors of 76600 and 76614 and find the biggest common factor number .

Step-1: Prime Factorization of 76600

Prime factors of 76600 are 2, 5, 383. Prime factorization of 76600 in exponential form is:

76600 = 2³ × 5² × 383¹

Step-2: Prime Factorization of 76614

Prime factors of 76614 are 2, 3, 113. Prime factorization of 76614 in exponential form is:

76614 = 2¹ × 3¹ × 113²

Step-3: Factors of 76600

List of positive integer factors of 76600 that divides 76600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 383, 766, 1532, 1915, 3064, 3830, 7660, 9575, 15320, 19150, 38300

Step-4: Factors of 76614

List of positive integer factors of 76614 that divides 76600 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678, 12769, 25538, 38307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76600 and 76614. The biggest common factor number is the GCF number.
So the greatest common factor 76600 and 76614 is 2.

Also check out the Least Common Multiple of 76600 and 76614