What is the Greatest Common Factor of 36099 and 36112?

Greatest common factor (GCF) of 36099 and 36112 is 1.

GCF(36099,36112) = 1

We will now calculate the prime factors of 36099 and 36112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36099 and 36112.

How to find the GCF of 36099 and 36112?

We will first find the prime factorization of 36099 and 36112. After we will calculate the factors of 36099 and 36112 and find the biggest common factor number .

Step-1: Prime Factorization of 36099

Prime factors of 36099 are 3, 7, 191. Prime factorization of 36099 in exponential form is:

36099 = 3³ × 7¹ × 191¹

Step-2: Prime Factorization of 36112

Prime factors of 36112 are 2, 37, 61. Prime factorization of 36112 in exponential form is:

36112 = 2⁴ × 37¹ × 61¹

Step-3: Factors of 36099

List of positive integer factors of 36099 that divides 36099 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 191, 573, 1337, 1719, 4011, 5157, 12033

Step-4: Factors of 36112

List of positive integer factors of 36112 that divides 36099 without a remainder.

1, 2, 4, 8, 16, 37, 61, 74, 122, 148, 244, 296, 488, 592, 976, 2257, 4514, 9028, 18056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36099 and 36112. The biggest common factor number is the GCF number.
So the greatest common factor 36099 and 36112 is 1.

Also check out the Least Common Multiple of 36099 and 36112