What is the Greatest Common Factor of 78398 and 78407?

Greatest common factor (GCF) of 78398 and 78407 is 1.

GCF(78398,78407) = 1

We will now calculate the prime factors of 78398 and 78407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78398 and 78407.

How to find the GCF of 78398 and 78407?

We will first find the prime factorization of 78398 and 78407. After we will calculate the factors of 78398 and 78407 and find the biggest common factor number .

Step-1: Prime Factorization of 78398

Prime factors of 78398 are 2, 39199. Prime factorization of 78398 in exponential form is:

78398 = 2¹ × 39199¹

Step-2: Prime Factorization of 78407

Prime factors of 78407 are 7, 23, 487. Prime factorization of 78407 in exponential form is:

78407 = 7¹ × 23¹ × 487¹

Step-3: Factors of 78398

List of positive integer factors of 78398 that divides 78398 without a remainder.

1, 2, 39199

Step-4: Factors of 78407

List of positive integer factors of 78407 that divides 78398 without a remainder.

1, 7, 23, 161, 487, 3409, 11201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78398 and 78407. The biggest common factor number is the GCF number.
So the greatest common factor 78398 and 78407 is 1.

Also check out the Least Common Multiple of 78398 and 78407