What is the Greatest Common Factor of 78563 and 78571?

Greatest common factor (GCF) of 78563 and 78571 is 1.

GCF(78563,78571) = 1

We will now calculate the prime factors of 78563 and 78571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78563 and 78571.

How to find the GCF of 78563 and 78571?

We will first find the prime factorization of 78563 and 78571. After we will calculate the factors of 78563 and 78571 and find the biggest common factor number .

Step-1: Prime Factorization of 78563

Prime factors of 78563 are 251, 313. Prime factorization of 78563 in exponential form is:

78563 = 251¹ × 313¹

Step-2: Prime Factorization of 78571

Prime factors of 78571 are 78571. Prime factorization of 78571 in exponential form is:

78571 = 78571¹

Step-3: Factors of 78563

List of positive integer factors of 78563 that divides 78563 without a remainder.

1, 251, 313

Step-4: Factors of 78571

List of positive integer factors of 78571 that divides 78563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78563 and 78571. The biggest common factor number is the GCF number.
So the greatest common factor 78563 and 78571 is 1.

Also check out the Least Common Multiple of 78563 and 78571