What is the Greatest Common Factor of 72036 and 72047?

Greatest common factor (GCF) of 72036 and 72047 is 1.

GCF(72036,72047) = 1

We will now calculate the prime factors of 72036 and 72047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72036 and 72047.

How to find the GCF of 72036 and 72047?

We will first find the prime factorization of 72036 and 72047. After we will calculate the factors of 72036 and 72047 and find the biggest common factor number .

Step-1: Prime Factorization of 72036

Prime factors of 72036 are 2, 3, 23, 29. Prime factorization of 72036 in exponential form is:

72036 = 2² × 3³ × 23¹ × 29¹

Step-2: Prime Factorization of 72047

Prime factors of 72047 are 72047. Prime factorization of 72047 in exponential form is:

72047 = 72047¹

Step-3: Factors of 72036

List of positive integer factors of 72036 that divides 72036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 29, 36, 46, 54, 58, 69, 87, 92, 108, 116, 138, 174, 207, 261, 276, 348, 414, 522, 621, 667, 783, 828, 1044, 1242, 1334, 1566, 2001, 2484, 2668, 3132, 4002, 6003, 8004, 12006, 18009, 24012, 36018

Step-4: Factors of 72047

List of positive integer factors of 72047 that divides 72036 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72036 and 72047. The biggest common factor number is the GCF number.
So the greatest common factor 72036 and 72047 is 1.

Also check out the Least Common Multiple of 72036 and 72047