What is the Greatest Common Factor of 78417 and 78431?

Greatest common factor (GCF) of 78417 and 78431 is 1.

GCF(78417,78431) = 1

We will now calculate the prime factors of 78417 and 78431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78417 and 78431.

How to find the GCF of 78417 and 78431?

We will first find the prime factorization of 78417 and 78431. After we will calculate the factors of 78417 and 78431 and find the biggest common factor number .

Step-1: Prime Factorization of 78417

Prime factors of 78417 are 3, 8713. Prime factorization of 78417 in exponential form is:

78417 = 3² × 8713¹

Step-2: Prime Factorization of 78431

Prime factors of 78431 are 107, 733. Prime factorization of 78431 in exponential form is:

78431 = 107¹ × 733¹

Step-3: Factors of 78417

List of positive integer factors of 78417 that divides 78417 without a remainder.

1, 3, 9, 8713, 26139

Step-4: Factors of 78431

List of positive integer factors of 78431 that divides 78417 without a remainder.

1, 107, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78417 and 78431. The biggest common factor number is the GCF number.
So the greatest common factor 78417 and 78431 is 1.

Also check out the Least Common Multiple of 78417 and 78431