What is the Greatest Common Factor of 36492 and 36499?

Greatest common factor (GCF) of 36492 and 36499 is 1.

GCF(36492,36499) = 1

We will now calculate the prime factors of 36492 and 36499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36492 and 36499.

How to find the GCF of 36492 and 36499?

We will first find the prime factorization of 36492 and 36499. After we will calculate the factors of 36492 and 36499 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 36499

Prime factors of 36499 are 17, 19, 113. Prime factorization of 36499 in exponential form is:

36499 = 17¹ × 19¹ × 113¹

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 36499

List of positive integer factors of 36499 that divides 36492 without a remainder.

1, 17, 19, 113, 323, 1921, 2147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36492 and 36499. The biggest common factor number is the GCF number.
So the greatest common factor 36492 and 36499 is 1.

Also check out the Least Common Multiple of 36492 and 36499