What is the Greatest Common Factor of 36610 and 36620?

Greatest common factor (GCF) of 36610 and 36620 is 10.

GCF(36610,36620) = 10

We will now calculate the prime factors of 36610 and 36620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36610 and 36620.

How to find the GCF of 36610 and 36620?

We will first find the prime factorization of 36610 and 36620. After we will calculate the factors of 36610 and 36620 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36620

Prime factors of 36620 are 2, 5, 1831. Prime factorization of 36620 in exponential form is:

36620 = 2² × 5¹ × 1831¹

Step-3: Factors of 36610

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

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

Step-4: Factors of 36620

List of positive integer factors of 36620 that divides 36610 without a remainder.

1, 2, 4, 5, 10, 20, 1831, 3662, 7324, 9155, 18310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36610 and 36620. The biggest common factor number is the GCF number.
So the greatest common factor 36610 and 36620 is 10.

Also check out the Least Common Multiple of 36610 and 36620