What is the Greatest Common Factor of 36090 and 36108?

Greatest common factor (GCF) of 36090 and 36108 is 18.

GCF(36090,36108) = 18

We will now calculate the prime factors of 36090 and 36108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36090 and 36108.

How to find the GCF of 36090 and 36108?

We will first find the prime factorization of 36090 and 36108. After we will calculate the factors of 36090 and 36108 and find the biggest common factor number .

Step-1: Prime Factorization of 36090

Prime factors of 36090 are 2, 3, 5, 401. Prime factorization of 36090 in exponential form is:

36090 = 2¹ × 3² × 5¹ × 401¹

Step-2: Prime Factorization of 36108

Prime factors of 36108 are 2, 3, 17, 59. Prime factorization of 36108 in exponential form is:

36108 = 2² × 3² × 17¹ × 59¹

Step-3: Factors of 36090

List of positive integer factors of 36090 that divides 36090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 401, 802, 1203, 2005, 2406, 3609, 4010, 6015, 7218, 12030, 18045

Step-4: Factors of 36108

List of positive integer factors of 36108 that divides 36090 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 59, 68, 102, 118, 153, 177, 204, 236, 306, 354, 531, 612, 708, 1003, 1062, 2006, 2124, 3009, 4012, 6018, 9027, 12036, 18054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36090 and 36108. The biggest common factor number is the GCF number.
So the greatest common factor 36090 and 36108 is 18.

Also check out the Least Common Multiple of 36090 and 36108