What is the Greatest Common Factor of 72258 and 72269?

Greatest common factor (GCF) of 72258 and 72269 is 1.

GCF(72258,72269) = 1

We will now calculate the prime factors of 72258 and 72269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72258 and 72269.

How to find the GCF of 72258 and 72269?

We will first find the prime factorization of 72258 and 72269. After we will calculate the factors of 72258 and 72269 and find the biggest common factor number .

Step-1: Prime Factorization of 72258

Prime factors of 72258 are 2, 3, 12043. Prime factorization of 72258 in exponential form is:

72258 = 2¹ × 3¹ × 12043¹

Step-2: Prime Factorization of 72269

Prime factors of 72269 are 72269. Prime factorization of 72269 in exponential form is:

72269 = 72269¹

Step-3: Factors of 72258

List of positive integer factors of 72258 that divides 72258 without a remainder.

1, 2, 3, 6, 12043, 24086, 36129

Step-4: Factors of 72269

List of positive integer factors of 72269 that divides 72258 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72258 and 72269. The biggest common factor number is the GCF number.
So the greatest common factor 72258 and 72269 is 1.

Also check out the Least Common Multiple of 72258 and 72269