What is the Greatest Common Factor of 76290 and 76310?

Greatest common factor (GCF) of 76290 and 76310 is 10.

GCF(76290,76310) = 10

We will now calculate the prime factors of 76290 and 76310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76290 and 76310.

How to find the GCF of 76290 and 76310?

We will first find the prime factorization of 76290 and 76310. After we will calculate the factors of 76290 and 76310 and find the biggest common factor number .

Step-1: Prime Factorization of 76290

Prime factors of 76290 are 2, 3, 5, 2543. Prime factorization of 76290 in exponential form is:

76290 = 2¹ × 3¹ × 5¹ × 2543¹

Step-2: Prime Factorization of 76310

Prime factors of 76310 are 2, 5, 13, 587. Prime factorization of 76310 in exponential form is:

76310 = 2¹ × 5¹ × 13¹ × 587¹

Step-3: Factors of 76290

List of positive integer factors of 76290 that divides 76290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2543, 5086, 7629, 12715, 15258, 25430, 38145

Step-4: Factors of 76310

List of positive integer factors of 76310 that divides 76290 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 587, 1174, 2935, 5870, 7631, 15262, 38155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76290 and 76310. The biggest common factor number is the GCF number.
So the greatest common factor 76290 and 76310 is 10.

Also check out the Least Common Multiple of 76290 and 76310