What is the Greatest Common Factor of 35595 and 35610?

Greatest common factor (GCF) of 35595 and 35610 is 15.

GCF(35595,35610) = 15

We will now calculate the prime factors of 35595 and 35610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35595 and 35610.

How to find the GCF of 35595 and 35610?

We will first find the prime factorization of 35595 and 35610. After we will calculate the factors of 35595 and 35610 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 35610

Prime factors of 35610 are 2, 3, 5, 1187. Prime factorization of 35610 in exponential form is:

35610 = 2¹ × 3¹ × 5¹ × 1187¹

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 35610

List of positive integer factors of 35610 that divides 35595 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1187, 2374, 3561, 5935, 7122, 11870, 17805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35595 and 35610. The biggest common factor number is the GCF number.
So the greatest common factor 35595 and 35610 is 15.

Also check out the Least Common Multiple of 35595 and 35610