What is the Greatest Common Factor of 36057 and 36072?

Greatest common factor (GCF) of 36057 and 36072 is 3.

GCF(36057,36072) = 3

We will now calculate the prime factors of 36057 and 36072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36057 and 36072.

How to find the GCF of 36057 and 36072?

We will first find the prime factorization of 36057 and 36072. After we will calculate the factors of 36057 and 36072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36072

Prime factors of 36072 are 2, 3, 167. Prime factorization of 36072 in exponential form is:

36072 = 2³ × 3³ × 167¹

Step-3: Factors of 36057

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

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

Step-4: Factors of 36072

List of positive integer factors of 36072 that divides 36057 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 167, 216, 334, 501, 668, 1002, 1336, 1503, 2004, 3006, 4008, 4509, 6012, 9018, 12024, 18036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36057 and 36072. The biggest common factor number is the GCF number.
So the greatest common factor 36057 and 36072 is 3.

Also check out the Least Common Multiple of 36057 and 36072