What is the Greatest Common Factor of 76573 and 76580?

Greatest common factor (GCF) of 76573 and 76580 is 7.

GCF(76573,76580) = 7

We will now calculate the prime factors of 76573 and 76580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76573 and 76580.

How to find the GCF of 76573 and 76580?

We will first find the prime factorization of 76573 and 76580. After we will calculate the factors of 76573 and 76580 and find the biggest common factor number .

Step-1: Prime Factorization of 76573

Prime factors of 76573 are 7, 10939. Prime factorization of 76573 in exponential form is:

76573 = 7¹ × 10939¹

Step-2: 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-3: Factors of 76573

List of positive integer factors of 76573 that divides 76573 without a remainder.

1, 7, 10939

Step-4: Factors of 76580

List of positive integer factors of 76580 that divides 76573 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76573 and 76580. The biggest common factor number is the GCF number.
So the greatest common factor 76573 and 76580 is 7.

Also check out the Least Common Multiple of 76573 and 76580