What is the Greatest Common Factor of 72036 and 72051?

Greatest common factor (GCF) of 72036 and 72051 is 3.

GCF(72036,72051) = 3

We will now calculate the prime factors of 72036 and 72051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72036 and 72051.

How to find the GCF of 72036 and 72051?

We will first find the prime factorization of 72036 and 72051. After we will calculate the factors of 72036 and 72051 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 72051

Prime factors of 72051 are 3, 7, 47, 73. Prime factorization of 72051 in exponential form is:

72051 = 3¹ × 7¹ × 47¹ × 73¹

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 72051

List of positive integer factors of 72051 that divides 72036 without a remainder.

1, 3, 7, 21, 47, 73, 141, 219, 329, 511, 987, 1533, 3431, 10293, 24017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72036 and 72051. The biggest common factor number is the GCF number.
So the greatest common factor 72036 and 72051 is 3.

Also check out the Least Common Multiple of 72036 and 72051