What is the Greatest Common Factor of 68590 and 68610?

Greatest common factor (GCF) of 68590 and 68610 is 10.

GCF(68590,68610) = 10

We will now calculate the prime factors of 68590 and 68610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68590 and 68610.

How to find the GCF of 68590 and 68610?

We will first find the prime factorization of 68590 and 68610. After we will calculate the factors of 68590 and 68610 and find the biggest common factor number .

Step-1: Prime Factorization of 68590

Prime factors of 68590 are 2, 5, 19. Prime factorization of 68590 in exponential form is:

68590 = 2¹ × 5¹ × 19³

Step-2: Prime Factorization of 68610

Prime factors of 68610 are 2, 3, 5, 2287. Prime factorization of 68610 in exponential form is:

68610 = 2¹ × 3¹ × 5¹ × 2287¹

Step-3: Factors of 68590

List of positive integer factors of 68590 that divides 68590 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610, 6859, 13718, 34295

Step-4: Factors of 68610

List of positive integer factors of 68610 that divides 68590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2287, 4574, 6861, 11435, 13722, 22870, 34305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68590 and 68610. The biggest common factor number is the GCF number.
So the greatest common factor 68590 and 68610 is 10.

Also check out the Least Common Multiple of 68590 and 68610