What is the Greatest Common Factor of 30636 and 30645?

Greatest common factor (GCF) of 30636 and 30645 is 9.

GCF(30636,30645) = 9

We will now calculate the prime factors of 30636 and 30645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30636 and 30645.

How to find the GCF of 30636 and 30645?

We will first find the prime factorization of 30636 and 30645. After we will calculate the factors of 30636 and 30645 and find the biggest common factor number .

Step-1: Prime Factorization of 30636

Prime factors of 30636 are 2, 3, 23, 37. Prime factorization of 30636 in exponential form is:

30636 = 2² × 3² × 23¹ × 37¹

Step-2: Prime Factorization of 30645

Prime factors of 30645 are 3, 5, 227. Prime factorization of 30645 in exponential form is:

30645 = 3³ × 5¹ × 227¹

Step-3: Factors of 30636

List of positive integer factors of 30636 that divides 30636 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 37, 46, 69, 74, 92, 111, 138, 148, 207, 222, 276, 333, 414, 444, 666, 828, 851, 1332, 1702, 2553, 3404, 5106, 7659, 10212, 15318

Step-4: Factors of 30645

List of positive integer factors of 30645 that divides 30636 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 227, 681, 1135, 2043, 3405, 6129, 10215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30636 and 30645. The biggest common factor number is the GCF number.
So the greatest common factor 30636 and 30645 is 9.

Also check out the Least Common Multiple of 30636 and 30645