What is the Greatest Common Factor of 72449 and 72455?

Greatest common factor (GCF) of 72449 and 72455 is 1.

GCF(72449,72455) = 1

We will now calculate the prime factors of 72449 and 72455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72449 and 72455.

How to find the GCF of 72449 and 72455?

We will first find the prime factorization of 72449 and 72455. After we will calculate the factors of 72449 and 72455 and find the biggest common factor number .

Step-1: Prime Factorization of 72449

Prime factors of 72449 are 13, 5573. Prime factorization of 72449 in exponential form is:

72449 = 13¹ × 5573¹

Step-2: 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-3: Factors of 72449

List of positive integer factors of 72449 that divides 72449 without a remainder.

1, 13, 5573

Step-4: Factors of 72455

List of positive integer factors of 72455 that divides 72449 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72449 and 72455. The biggest common factor number is the GCF number.
So the greatest common factor 72449 and 72455 is 1.

Also check out the Least Common Multiple of 72449 and 72455