What is the Greatest Common Factor of 36598 and 36610?

Greatest common factor (GCF) of 36598 and 36610 is 2.

GCF(36598,36610) = 2

We will now calculate the prime factors of 36598 and 36610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36598 and 36610.

How to find the GCF of 36598 and 36610?

We will first find the prime factorization of 36598 and 36610. After we will calculate the factors of 36598 and 36610 and find the biggest common factor number .

Step-1: Prime Factorization of 36598

Prime factors of 36598 are 2, 29, 631. Prime factorization of 36598 in exponential form is:

36598 = 2¹ × 29¹ × 631¹

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 36598

List of positive integer factors of 36598 that divides 36598 without a remainder.

1, 2, 29, 58, 631, 1262, 18299

Step-4: Factors of 36610

List of positive integer factors of 36610 that divides 36598 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 36598 and 36610. The biggest common factor number is the GCF number.
So the greatest common factor 36598 and 36610 is 2.

Also check out the Least Common Multiple of 36598 and 36610