What is the Greatest Common Factor of 36072 and 36076?

Greatest common factor (GCF) of 36072 and 36076 is 4.

GCF(36072,36076) = 4

We will now calculate the prime factors of 36072 and 36076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36072 and 36076.

How to find the GCF of 36072 and 36076?

We will first find the prime factorization of 36072 and 36076. After we will calculate the factors of 36072 and 36076 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 36076

Prime factors of 36076 are 2, 29, 311. Prime factorization of 36076 in exponential form is:

36076 = 2² × 29¹ × 311¹

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 36076

List of positive integer factors of 36076 that divides 36072 without a remainder.

1, 2, 4, 29, 58, 116, 311, 622, 1244, 9019, 18038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36072 and 36076. The biggest common factor number is the GCF number.
So the greatest common factor 36072 and 36076 is 4.

Also check out the Least Common Multiple of 36072 and 36076