What is the Greatest Common Factor of 35581 and 35598?

Greatest common factor (GCF) of 35581 and 35598 is 17.

GCF(35581,35598) = 17

We will now calculate the prime factors of 35581 and 35598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35581 and 35598.

How to find the GCF of 35581 and 35598?

We will first find the prime factorization of 35581 and 35598. After we will calculate the factors of 35581 and 35598 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 35598

Prime factors of 35598 are 2, 3, 17, 349. Prime factorization of 35598 in exponential form is:

35598 = 2¹ × 3¹ × 17¹ × 349¹

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 35598

List of positive integer factors of 35598 that divides 35581 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 349, 698, 1047, 2094, 5933, 11866, 17799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35581 and 35598. The biggest common factor number is the GCF number.
So the greatest common factor 35581 and 35598 is 17.

Also check out the Least Common Multiple of 35581 and 35598