What is the Greatest Common Factor of 76563 and 76571?

Greatest common factor (GCF) of 76563 and 76571 is 1.

GCF(76563,76571) = 1

We will now calculate the prime factors of 76563 and 76571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76563 and 76571.

How to find the GCF of 76563 and 76571?

We will first find the prime factorization of 76563 and 76571. After we will calculate the factors of 76563 and 76571 and find the biggest common factor number .

Step-1: Prime Factorization of 76563

Prime factors of 76563 are 3, 47, 181. Prime factorization of 76563 in exponential form is:

76563 = 3² × 47¹ × 181¹

Step-2: Prime Factorization of 76571

Prime factors of 76571 are 11, 6961. Prime factorization of 76571 in exponential form is:

76571 = 11¹ × 6961¹

Step-3: Factors of 76563

List of positive integer factors of 76563 that divides 76563 without a remainder.

1, 3, 9, 47, 141, 181, 423, 543, 1629, 8507, 25521

Step-4: Factors of 76571

List of positive integer factors of 76571 that divides 76563 without a remainder.

1, 11, 6961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76563 and 76571. The biggest common factor number is the GCF number.
So the greatest common factor 76563 and 76571 is 1.

Also check out the Least Common Multiple of 76563 and 76571