What is the Greatest Common Factor of 36072 and 36078?

Greatest common factor (GCF) of 36072 and 36078 is 6.

GCF(36072,36078) = 6

We will now calculate the prime factors of 36072 and 36078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36072 and 36078.

How to find the GCF of 36072 and 36078?

We will first find the prime factorization of 36072 and 36078. After we will calculate the factors of 36072 and 36078 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36078

Prime factors of 36078 are 2, 3, 7, 859. Prime factorization of 36078 in exponential form is:

36078 = 2¹ × 3¹ × 7¹ × 859¹

Step-3: Factors of 36072

List of positive integer factors of 36072 that divides 36072 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

Step-4: Factors of 36078

List of positive integer factors of 36078 that divides 36072 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 859, 1718, 2577, 5154, 6013, 12026, 18039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36072 and 36078. The biggest common factor number is the GCF number.
So the greatest common factor 36072 and 36078 is 6.

Also check out the Least Common Multiple of 36072 and 36078