What is the Greatest Common Factor of 76580 and 76594?

Greatest common factor (GCF) of 76580 and 76594 is 14.

GCF(76580,76594) = 14

We will now calculate the prime factors of 76580 and 76594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76580 and 76594.

How to find the GCF of 76580 and 76594?

We will first find the prime factorization of 76580 and 76594. After we will calculate the factors of 76580 and 76594 and find the biggest common factor number .

Step-1: Prime Factorization of 76580

Prime factors of 76580 are 2, 5, 7, 547. Prime factorization of 76580 in exponential form is:

76580 = 2² × 5¹ × 7¹ × 547¹

Step-2: Prime Factorization of 76594

Prime factors of 76594 are 2, 7, 5471. Prime factorization of 76594 in exponential form is:

76594 = 2¹ × 7¹ × 5471¹

Step-3: Factors of 76580

List of positive integer factors of 76580 that divides 76580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 547, 1094, 2188, 2735, 3829, 5470, 7658, 10940, 15316, 19145, 38290

Step-4: Factors of 76594

List of positive integer factors of 76594 that divides 76580 without a remainder.

1, 2, 7, 14, 5471, 10942, 38297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76580 and 76594. The biggest common factor number is the GCF number.
So the greatest common factor 76580 and 76594 is 14.

Also check out the Least Common Multiple of 76580 and 76594