What is the Greatest Common Factor of 35595 and 35613?

Greatest common factor (GCF) of 35595 and 35613 is 9.

GCF(35595,35613) = 9

We will now calculate the prime factors of 35595 and 35613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35595 and 35613.

How to find the GCF of 35595 and 35613?

We will first find the prime factorization of 35595 and 35613. After we will calculate the factors of 35595 and 35613 and find the biggest common factor number .

Step-1: Prime Factorization of 35595

Prime factors of 35595 are 3, 5, 7, 113. Prime factorization of 35595 in exponential form is:

35595 = 3² × 5¹ × 7¹ × 113¹

Step-2: Prime Factorization of 35613

Prime factors of 35613 are 3, 1319. Prime factorization of 35613 in exponential form is:

35613 = 3³ × 1319¹

Step-3: Factors of 35595

List of positive integer factors of 35595 that divides 35595 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 113, 315, 339, 565, 791, 1017, 1695, 2373, 3955, 5085, 7119, 11865

Step-4: Factors of 35613

List of positive integer factors of 35613 that divides 35595 without a remainder.

1, 3, 9, 27, 1319, 3957, 11871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35595 and 35613. The biggest common factor number is the GCF number.
So the greatest common factor 35595 and 35613 is 9.

Also check out the Least Common Multiple of 35595 and 35613