What is the Greatest Common Factor of 36610 and 36630?

Greatest common factor (GCF) of 36610 and 36630 is 10.

GCF(36610,36630) = 10

We will now calculate the prime factors of 36610 and 36630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36610 and 36630.

How to find the GCF of 36610 and 36630?

We will first find the prime factorization of 36610 and 36630. After we will calculate the factors of 36610 and 36630 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 36630

Prime factors of 36630 are 2, 3, 5, 11, 37. Prime factorization of 36630 in exponential form is:

36630 = 2¹ × 3² × 5¹ × 11¹ × 37¹

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 36630

List of positive integer factors of 36630 that divides 36610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 37, 45, 55, 66, 74, 90, 99, 110, 111, 165, 185, 198, 222, 330, 333, 370, 407, 495, 555, 666, 814, 990, 1110, 1221, 1665, 2035, 2442, 3330, 3663, 4070, 6105, 7326, 12210, 18315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36610 and 36630. The biggest common factor number is the GCF number.
So the greatest common factor 36610 and 36630 is 10.

Also check out the Least Common Multiple of 36610 and 36630