What is the Greatest Common Factor of 35586 and 35595?

Greatest common factor (GCF) of 35586 and 35595 is 9.

GCF(35586,35595) = 9

We will now calculate the prime factors of 35586 and 35595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35586 and 35595.

How to find the GCF of 35586 and 35595?

We will first find the prime factorization of 35586 and 35595. After we will calculate the factors of 35586 and 35595 and find the biggest common factor number .

Step-1: Prime Factorization of 35586

Prime factors of 35586 are 2, 3, 659. Prime factorization of 35586 in exponential form is:

35586 = 2¹ × 3³ × 659¹

Step-2: 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-3: Factors of 35586

List of positive integer factors of 35586 that divides 35586 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 659, 1318, 1977, 3954, 5931, 11862, 17793

Step-4: Factors of 35595

List of positive integer factors of 35595 that divides 35586 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35586 and 35595. The biggest common factor number is the GCF number.
So the greatest common factor 35586 and 35595 is 9.

Also check out the Least Common Multiple of 35586 and 35595