What is the Greatest Common Factor of 68590 and 68605?

Greatest common factor (GCF) of 68590 and 68605 is 5.

GCF(68590,68605) = 5

We will now calculate the prime factors of 68590 and 68605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68590 and 68605.

How to find the GCF of 68590 and 68605?

We will first find the prime factorization of 68590 and 68605. After we will calculate the factors of 68590 and 68605 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 68605

Prime factors of 68605 are 5, 13721. Prime factorization of 68605 in exponential form is:

68605 = 5¹ × 13721¹

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 68605

List of positive integer factors of 68605 that divides 68590 without a remainder.

1, 5, 13721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68590 and 68605. The biggest common factor number is the GCF number.
So the greatest common factor 68590 and 68605 is 5.

Also check out the Least Common Multiple of 68590 and 68605