What is the Greatest Common Factor of 78563 and 78577?

Greatest common factor (GCF) of 78563 and 78577 is 1.

GCF(78563,78577) = 1

We will now calculate the prime factors of 78563 and 78577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78563 and 78577.

How to find the GCF of 78563 and 78577?

We will first find the prime factorization of 78563 and 78577. After we will calculate the factors of 78563 and 78577 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 78577

Prime factors of 78577 are 78577. Prime factorization of 78577 in exponential form is:

78577 = 78577¹

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 78577

List of positive integer factors of 78577 that divides 78563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78563 and 78577. The biggest common factor number is the GCF number.
So the greatest common factor 78563 and 78577 is 1.

Also check out the Least Common Multiple of 78563 and 78577