What is the Greatest Common Factor of 72398 and 72407?

Greatest common factor (GCF) of 72398 and 72407 is 1.

GCF(72398,72407) = 1

We will now calculate the prime factors of 72398 and 72407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72398 and 72407.

How to find the GCF of 72398 and 72407?

We will first find the prime factorization of 72398 and 72407. After we will calculate the factors of 72398 and 72407 and find the biggest common factor number .

Step-1: Prime Factorization of 72398

Prime factors of 72398 are 2, 53, 683. Prime factorization of 72398 in exponential form is:

72398 = 2¹ × 53¹ × 683¹

Step-2: Prime Factorization of 72407

Prime factors of 72407 are 61, 1187. Prime factorization of 72407 in exponential form is:

72407 = 61¹ × 1187¹

Step-3: Factors of 72398

List of positive integer factors of 72398 that divides 72398 without a remainder.

1, 2, 53, 106, 683, 1366, 36199

Step-4: Factors of 72407

List of positive integer factors of 72407 that divides 72398 without a remainder.

1, 61, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72398 and 72407. The biggest common factor number is the GCF number.
So the greatest common factor 72398 and 72407 is 1.

Also check out the Least Common Multiple of 72398 and 72407