What is the Greatest Common Factor of 34580 and 34585?

Greatest common factor (GCF) of 34580 and 34585 is 5.

GCF(34580,34585) = 5

We will now calculate the prime factors of 34580 and 34585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34580 and 34585.

How to find the GCF of 34580 and 34585?

We will first find the prime factorization of 34580 and 34585. After we will calculate the factors of 34580 and 34585 and find the biggest common factor number .

Step-1: Prime Factorization of 34580

Prime factors of 34580 are 2, 5, 7, 13, 19. Prime factorization of 34580 in exponential form is:

34580 = 2² × 5¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 34585

Prime factors of 34585 are 5, 6917. Prime factorization of 34585 in exponential form is:

34585 = 5¹ × 6917¹

Step-3: Factors of 34580

List of positive integer factors of 34580 that divides 34580 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 19, 20, 26, 28, 35, 38, 52, 65, 70, 76, 91, 95, 130, 133, 140, 182, 190, 247, 260, 266, 364, 380, 455, 494, 532, 665, 910, 988, 1235, 1330, 1729, 1820, 2470, 2660, 3458, 4940, 6916, 8645, 17290

Step-4: Factors of 34585

List of positive integer factors of 34585 that divides 34580 without a remainder.

1, 5, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34580 and 34585. The biggest common factor number is the GCF number.
So the greatest common factor 34580 and 34585 is 5.

Also check out the Least Common Multiple of 34580 and 34585