What is the Greatest Common Factor of 36596 and 36610?

Greatest common factor (GCF) of 36596 and 36610 is 14.

GCF(36596,36610) = 14

We will now calculate the prime factors of 36596 and 36610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36596 and 36610.

How to find the GCF of 36596 and 36610?

We will first find the prime factorization of 36596 and 36610. After we will calculate the factors of 36596 and 36610 and find the biggest common factor number .

Step-1: Prime Factorization of 36596

Prime factors of 36596 are 2, 7, 1307. Prime factorization of 36596 in exponential form is:

36596 = 2² × 7¹ × 1307¹

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 36596

List of positive integer factors of 36596 that divides 36596 without a remainder.

1, 2, 4, 7, 14, 28, 1307, 2614, 5228, 9149, 18298

Step-4: Factors of 36610

List of positive integer factors of 36610 that divides 36596 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 36596 and 36610. The biggest common factor number is the GCF number.
So the greatest common factor 36596 and 36610 is 14.

Also check out the Least Common Multiple of 36596 and 36610