What is the Greatest Common Factor of 35580 and 35594?

Greatest common factor (GCF) of 35580 and 35594 is 2.

GCF(35580,35594) = 2

We will now calculate the prime factors of 35580 and 35594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35580 and 35594.

How to find the GCF of 35580 and 35594?

We will first find the prime factorization of 35580 and 35594. After we will calculate the factors of 35580 and 35594 and find the biggest common factor number .

Step-1: Prime Factorization of 35580

Prime factors of 35580 are 2, 3, 5, 593. Prime factorization of 35580 in exponential form is:

35580 = 2² × 3¹ × 5¹ × 593¹

Step-2: Prime Factorization of 35594

Prime factors of 35594 are 2, 13, 37. Prime factorization of 35594 in exponential form is:

35594 = 2¹ × 13¹ × 37²

Step-3: Factors of 35580

List of positive integer factors of 35580 that divides 35580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 593, 1186, 1779, 2372, 2965, 3558, 5930, 7116, 8895, 11860, 17790

Step-4: Factors of 35594

List of positive integer factors of 35594 that divides 35580 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962, 1369, 2738, 17797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35580 and 35594. The biggest common factor number is the GCF number.
So the greatest common factor 35580 and 35594 is 2.

Also check out the Least Common Multiple of 35580 and 35594