What is the Greatest Common Factor of 36590 and 36610?

Greatest common factor (GCF) of 36590 and 36610 is 10.

GCF(36590,36610) = 10

We will now calculate the prime factors of 36590 and 36610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36590 and 36610.

How to find the GCF of 36590 and 36610?

We will first find the prime factorization of 36590 and 36610. After we will calculate the factors of 36590 and 36610 and find the biggest common factor number .

Step-1: Prime Factorization of 36590

Prime factors of 36590 are 2, 5, 3659. Prime factorization of 36590 in exponential form is:

36590 = 2¹ × 5¹ × 3659¹

Step-2: Prime Factorization of 36610

Prime factors of 36610 are 2, 5, 7, 523. Prime factorization of 36610 in exponential form is:

36610 = 2¹ × 5¹ × 7¹ × 523¹

Step-3: Factors of 36590

List of positive integer factors of 36590 that divides 36590 without a remainder.

1, 2, 5, 10, 3659, 7318, 18295

Step-4: Factors of 36610

List of positive integer factors of 36610 that divides 36590 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 523, 1046, 2615, 3661, 5230, 7322, 18305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36590 and 36610. The biggest common factor number is the GCF number.
So the greatest common factor 36590 and 36610 is 10.

Also check out the Least Common Multiple of 36590 and 36610