What is the Greatest Common Factor of 36105 and 36121?

Greatest common factor (GCF) of 36105 and 36121 is 1.

GCF(36105,36121) = 1

We will now calculate the prime factors of 36105 and 36121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36105 and 36121.

How to find the GCF of 36105 and 36121?

We will first find the prime factorization of 36105 and 36121. After we will calculate the factors of 36105 and 36121 and find the biggest common factor number .

Step-1: Prime Factorization of 36105

Prime factors of 36105 are 3, 5, 29, 83. Prime factorization of 36105 in exponential form is:

36105 = 3¹ × 5¹ × 29¹ × 83¹

Step-2: Prime Factorization of 36121

Prime factors of 36121 are 41, 881. Prime factorization of 36121 in exponential form is:

36121 = 41¹ × 881¹

Step-3: Factors of 36105

List of positive integer factors of 36105 that divides 36105 without a remainder.

1, 3, 5, 15, 29, 83, 87, 145, 249, 415, 435, 1245, 2407, 7221, 12035

Step-4: Factors of 36121

List of positive integer factors of 36121 that divides 36105 without a remainder.

1, 41, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36105 and 36121. The biggest common factor number is the GCF number.
So the greatest common factor 36105 and 36121 is 1.

Also check out the Least Common Multiple of 36105 and 36121