What is the Greatest Common Factor of 36091 and 36108?

Greatest common factor (GCF) of 36091 and 36108 is 17.

GCF(36091,36108) = 17

We will now calculate the prime factors of 36091 and 36108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36091 and 36108.

How to find the GCF of 36091 and 36108?

We will first find the prime factorization of 36091 and 36108. After we will calculate the factors of 36091 and 36108 and find the biggest common factor number .

Step-1: Prime Factorization of 36091

Prime factors of 36091 are 11, 17, 193. Prime factorization of 36091 in exponential form is:

36091 = 11¹ × 17¹ × 193¹

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 36091

List of positive integer factors of 36091 that divides 36091 without a remainder.

1, 11, 17, 187, 193, 2123, 3281

Step-4: Factors of 36108

List of positive integer factors of 36108 that divides 36091 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 36091 and 36108. The biggest common factor number is the GCF number.
So the greatest common factor 36091 and 36108 is 17.

Also check out the Least Common Multiple of 36091 and 36108