What is the Greatest Common Factor of 72455 and 72460?

Greatest common factor (GCF) of 72455 and 72460 is 5.

GCF(72455,72460) = 5

We will now calculate the prime factors of 72455 and 72460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72455 and 72460.

How to find the GCF of 72455 and 72460?

We will first find the prime factorization of 72455 and 72460. After we will calculate the factors of 72455 and 72460 and find the biggest common factor number .

Step-1: Prime Factorization of 72455

Prime factors of 72455 are 5, 43, 337. Prime factorization of 72455 in exponential form is:

72455 = 5¹ × 43¹ × 337¹

Step-2: 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-3: Factors of 72455

List of positive integer factors of 72455 that divides 72455 without a remainder.

1, 5, 43, 215, 337, 1685, 14491

Step-4: Factors of 72460

List of positive integer factors of 72460 that divides 72455 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72455 and 72460. The biggest common factor number is the GCF number.
So the greatest common factor 72455 and 72460 is 5.

Also check out the Least Common Multiple of 72455 and 72460