What is the Greatest Common Factor of 36990 and 36999?

Greatest common factor (GCF) of 36990 and 36999 is 9.

GCF(36990,36999) = 9

We will now calculate the prime factors of 36990 and 36999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36990 and 36999.

How to find the GCF of 36990 and 36999?

We will first find the prime factorization of 36990 and 36999. After we will calculate the factors of 36990 and 36999 and find the biggest common factor number .

Step-1: Prime Factorization of 36990

Prime factors of 36990 are 2, 3, 5, 137. Prime factorization of 36990 in exponential form is:

36990 = 2¹ × 3³ × 5¹ × 137¹

Step-2: Prime Factorization of 36999

Prime factors of 36999 are 3, 4111. Prime factorization of 36999 in exponential form is:

36999 = 3² × 4111¹

Step-3: Factors of 36990

List of positive integer factors of 36990 that divides 36990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 137, 270, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 3699, 4110, 6165, 7398, 12330, 18495

Step-4: Factors of 36999

List of positive integer factors of 36999 that divides 36990 without a remainder.

1, 3, 9, 4111, 12333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36990 and 36999. The biggest common factor number is the GCF number.
So the greatest common factor 36990 and 36999 is 9.

Also check out the Least Common Multiple of 36990 and 36999