What is the Greatest Common Factor of 34580 and 34594?

Greatest common factor (GCF) of 34580 and 34594 is 14.

GCF(34580,34594) = 14

We will now calculate the prime factors of 34580 and 34594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34580 and 34594.

How to find the GCF of 34580 and 34594?

We will first find the prime factorization of 34580 and 34594. After we will calculate the factors of 34580 and 34594 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 34594

Prime factors of 34594 are 2, 7, 353. Prime factorization of 34594 in exponential form is:

34594 = 2¹ × 7² × 353¹

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 34594

List of positive integer factors of 34594 that divides 34580 without a remainder.

1, 2, 7, 14, 49, 98, 353, 706, 2471, 4942, 17297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34580 and 34594. The biggest common factor number is the GCF number.
So the greatest common factor 34580 and 34594 is 14.

Also check out the Least Common Multiple of 34580 and 34594