What is the Greatest Common Factor of 36492 and 36510?

Greatest common factor (GCF) of 36492 and 36510 is 6.

GCF(36492,36510) = 6

We will now calculate the prime factors of 36492 and 36510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36492 and 36510.

How to find the GCF of 36492 and 36510?

We will first find the prime factorization of 36492 and 36510. After we will calculate the factors of 36492 and 36510 and find the biggest common factor number .

Step-1: Prime Factorization of 36492

Prime factors of 36492 are 2, 3, 3041. Prime factorization of 36492 in exponential form is:

36492 = 2² × 3¹ × 3041¹

Step-2: Prime Factorization of 36510

Prime factors of 36510 are 2, 3, 5, 1217. Prime factorization of 36510 in exponential form is:

36510 = 2¹ × 3¹ × 5¹ × 1217¹

Step-3: Factors of 36492

List of positive integer factors of 36492 that divides 36492 without a remainder.

1, 2, 3, 4, 6, 12, 3041, 6082, 9123, 12164, 18246

Step-4: Factors of 36510

List of positive integer factors of 36510 that divides 36492 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1217, 2434, 3651, 6085, 7302, 12170, 18255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36492 and 36510. The biggest common factor number is the GCF number.
So the greatest common factor 36492 and 36510 is 6.

Also check out the Least Common Multiple of 36492 and 36510