What is the Greatest Common Factor of 35581 and 35594?

Greatest common factor (GCF) of 35581 and 35594 is 13.

GCF(35581,35594) = 13

We will now calculate the prime factors of 35581 and 35594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35581 and 35594.

How to find the GCF of 35581 and 35594?

We will first find the prime factorization of 35581 and 35594. After we will calculate the factors of 35581 and 35594 and find the biggest common factor number .

Step-1: Prime Factorization of 35581

Prime factors of 35581 are 7, 13, 17, 23. Prime factorization of 35581 in exponential form is:

35581 = 7¹ × 13¹ × 17¹ × 23¹

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 35581

List of positive integer factors of 35581 that divides 35581 without a remainder.

1, 7, 13, 17, 23, 91, 119, 161, 221, 299, 391, 1547, 2093, 2737, 5083

Step-4: Factors of 35594

List of positive integer factors of 35594 that divides 35581 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 35581 and 35594. The biggest common factor number is the GCF number.
So the greatest common factor 35581 and 35594 is 13.

Also check out the Least Common Multiple of 35581 and 35594