What is the Greatest Common Factor of 72036 and 72052?

Greatest common factor (GCF) of 72036 and 72052 is 4.

GCF(72036,72052) = 4

We will now calculate the prime factors of 72036 and 72052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72036 and 72052.

How to find the GCF of 72036 and 72052?

We will first find the prime factorization of 72036 and 72052. After we will calculate the factors of 72036 and 72052 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 72052

Prime factors of 72052 are 2, 18013. Prime factorization of 72052 in exponential form is:

72052 = 2² × 18013¹

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 72052

List of positive integer factors of 72052 that divides 72036 without a remainder.

1, 2, 4, 18013, 36026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72036 and 72052. The biggest common factor number is the GCF number.
So the greatest common factor 72036 and 72052 is 4.

Also check out the Least Common Multiple of 72036 and 72052