What is the Greatest Common Factor of 35598 and 35615?

Greatest common factor (GCF) of 35598 and 35615 is 17.

GCF(35598,35615) = 17

We will now calculate the prime factors of 35598 and 35615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35598 and 35615.

How to find the GCF of 35598 and 35615?

We will first find the prime factorization of 35598 and 35615. After we will calculate the factors of 35598 and 35615 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35615

Prime factors of 35615 are 5, 17, 419. Prime factorization of 35615 in exponential form is:

35615 = 5¹ × 17¹ × 419¹

Step-3: Factors of 35598

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

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

Step-4: Factors of 35615

List of positive integer factors of 35615 that divides 35598 without a remainder.

1, 5, 17, 85, 419, 2095, 7123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35598 and 35615. The biggest common factor number is the GCF number.
So the greatest common factor 35598 and 35615 is 17.

Also check out the Least Common Multiple of 35598 and 35615