What is the Greatest Common Factor of 72460 and 72467?

Greatest common factor (GCF) of 72460 and 72467 is 1.

GCF(72460,72467) = 1

We will now calculate the prime factors of 72460 and 72467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72460 and 72467.

How to find the GCF of 72460 and 72467?

We will first find the prime factorization of 72460 and 72467. After we will calculate the factors of 72460 and 72467 and find the biggest common factor number .

Step-1: Prime Factorization of 72460

Prime factors of 72460 are 2, 5, 3623. Prime factorization of 72460 in exponential form is:

72460 = 2² × 5¹ × 3623¹

Step-2: Prime Factorization of 72467

Prime factors of 72467 are 72467. Prime factorization of 72467 in exponential form is:

72467 = 72467¹

Step-3: Factors of 72460

List of positive integer factors of 72460 that divides 72460 without a remainder.

1, 2, 4, 5, 10, 20, 3623, 7246, 14492, 18115, 36230

Step-4: Factors of 72467

List of positive integer factors of 72467 that divides 72460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72460 and 72467. The biggest common factor number is the GCF number.
So the greatest common factor 72460 and 72467 is 1.

Also check out the Least Common Multiple of 72460 and 72467