What is the Greatest Common Factor of 36072 and 36091?

Greatest common factor (GCF) of 36072 and 36091 is 1.

GCF(36072,36091) = 1

We will now calculate the prime factors of 36072 and 36091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36072 and 36091.

How to find the GCF of 36072 and 36091?

We will first find the prime factorization of 36072 and 36091. After we will calculate the factors of 36072 and 36091 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 36091

Prime factors of 36091 are 11, 17, 193. Prime factorization of 36091 in exponential form is:

36091 = 11¹ × 17¹ × 193¹

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 36091

List of positive integer factors of 36091 that divides 36072 without a remainder.

1, 11, 17, 187, 193, 2123, 3281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36072 and 36091. The biggest common factor number is the GCF number.
So the greatest common factor 36072 and 36091 is 1.

Also check out the Least Common Multiple of 36072 and 36091