What is the Greatest Common Factor of 76300 and 76313?

Greatest common factor (GCF) of 76300 and 76313 is 1.

GCF(76300,76313) = 1

We will now calculate the prime factors of 76300 and 76313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76300 and 76313.

How to find the GCF of 76300 and 76313?

We will first find the prime factorization of 76300 and 76313. After we will calculate the factors of 76300 and 76313 and find the biggest common factor number .

Step-1: Prime Factorization of 76300

Prime factors of 76300 are 2, 5, 7, 109. Prime factorization of 76300 in exponential form is:

76300 = 2² × 5² × 7¹ × 109¹

Step-2: Prime Factorization of 76313

Prime factors of 76313 are 17, 67. Prime factorization of 76313 in exponential form is:

76313 = 17¹ × 67²

Step-3: Factors of 76300

List of positive integer factors of 76300 that divides 76300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 109, 140, 175, 218, 350, 436, 545, 700, 763, 1090, 1526, 2180, 2725, 3052, 3815, 5450, 7630, 10900, 15260, 19075, 38150

Step-4: Factors of 76313

List of positive integer factors of 76313 that divides 76300 without a remainder.

1, 17, 67, 1139, 4489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76300 and 76313. The biggest common factor number is the GCF number.
So the greatest common factor 76300 and 76313 is 1.

Also check out the Least Common Multiple of 76300 and 76313