What is the Greatest Common Factor of 36630 and 36642?

Greatest common factor (GCF) of 36630 and 36642 is 6.

GCF(36630,36642) = 6

We will now calculate the prime factors of 36630 and 36642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36630 and 36642.

How to find the GCF of 36630 and 36642?

We will first find the prime factorization of 36630 and 36642. After we will calculate the factors of 36630 and 36642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36642

Prime factors of 36642 are 2, 3, 31, 197. Prime factorization of 36642 in exponential form is:

36642 = 2¹ × 3¹ × 31¹ × 197¹

Step-3: Factors of 36630

List of positive integer factors of 36630 that divides 36630 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

Step-4: Factors of 36642

List of positive integer factors of 36642 that divides 36630 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 197, 394, 591, 1182, 6107, 12214, 18321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36630 and 36642. The biggest common factor number is the GCF number.
So the greatest common factor 36630 and 36642 is 6.

Also check out the Least Common Multiple of 36630 and 36642