What is the Greatest Common Factor of 36039 and 36057?

Greatest common factor (GCF) of 36039 and 36057 is 3.

GCF(36039,36057) = 3

We will now calculate the prime factors of 36039 and 36057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36039 and 36057.

How to find the GCF of 36039 and 36057?

We will first find the prime factorization of 36039 and 36057. After we will calculate the factors of 36039 and 36057 and find the biggest common factor number .

Step-1: Prime Factorization of 36039

Prime factors of 36039 are 3, 41, 293. Prime factorization of 36039 in exponential form is:

36039 = 3¹ × 41¹ × 293¹

Step-2: Prime Factorization of 36057

Prime factors of 36057 are 3, 7, 17, 101. Prime factorization of 36057 in exponential form is:

36057 = 3¹ × 7¹ × 17¹ × 101¹

Step-3: Factors of 36039

List of positive integer factors of 36039 that divides 36039 without a remainder.

1, 3, 41, 123, 293, 879, 12013

Step-4: Factors of 36057

List of positive integer factors of 36057 that divides 36039 without a remainder.

1, 3, 7, 17, 21, 51, 101, 119, 303, 357, 707, 1717, 2121, 5151, 12019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36039 and 36057. The biggest common factor number is the GCF number.
So the greatest common factor 36039 and 36057 is 3.

Also check out the Least Common Multiple of 36039 and 36057