What is the Greatest Common Factor of 72430 and 72445?

Greatest common factor (GCF) of 72430 and 72445 is 5.

GCF(72430,72445) = 5

We will now calculate the prime factors of 72430 and 72445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72430 and 72445.

How to find the GCF of 72430 and 72445?

We will first find the prime factorization of 72430 and 72445. After we will calculate the factors of 72430 and 72445 and find the biggest common factor number .

Step-1: Prime Factorization of 72430

Prime factors of 72430 are 2, 5, 7243. Prime factorization of 72430 in exponential form is:

72430 = 2¹ × 5¹ × 7243¹

Step-2: Prime Factorization of 72445

Prime factors of 72445 are 5, 14489. Prime factorization of 72445 in exponential form is:

72445 = 5¹ × 14489¹

Step-3: Factors of 72430

List of positive integer factors of 72430 that divides 72430 without a remainder.

1, 2, 5, 10, 7243, 14486, 36215

Step-4: Factors of 72445

List of positive integer factors of 72445 that divides 72430 without a remainder.

1, 5, 14489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72430 and 72445. The biggest common factor number is the GCF number.
So the greatest common factor 72430 and 72445 is 5.

Also check out the Least Common Multiple of 72430 and 72445