What is the Greatest Common Factor of 76570 and 76589?

Greatest common factor (GCF) of 76570 and 76589 is 19.

GCF(76570,76589) = 19

We will now calculate the prime factors of 76570 and 76589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76570 and 76589.

How to find the GCF of 76570 and 76589?

We will first find the prime factorization of 76570 and 76589. After we will calculate the factors of 76570 and 76589 and find the biggest common factor number .

Step-1: Prime Factorization of 76570

Prime factors of 76570 are 2, 5, 13, 19, 31. Prime factorization of 76570 in exponential form is:

76570 = 2¹ × 5¹ × 13¹ × 19¹ × 31¹

Step-2: Prime Factorization of 76589

Prime factors of 76589 are 19, 29, 139. Prime factorization of 76589 in exponential form is:

76589 = 19¹ × 29¹ × 139¹

Step-3: Factors of 76570

List of positive integer factors of 76570 that divides 76570 without a remainder.

1, 2, 5, 10, 13, 19, 26, 31, 38, 62, 65, 95, 130, 155, 190, 247, 310, 403, 494, 589, 806, 1178, 1235, 2015, 2470, 2945, 4030, 5890, 7657, 15314, 38285

Step-4: Factors of 76589

List of positive integer factors of 76589 that divides 76570 without a remainder.

1, 19, 29, 139, 551, 2641, 4031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76570 and 76589. The biggest common factor number is the GCF number.
So the greatest common factor 76570 and 76589 is 19.

Also check out the Least Common Multiple of 76570 and 76589