What is the Greatest Common Factor of 76401 and 76413?

Greatest common factor (GCF) of 76401 and 76413 is 3.

GCF(76401,76413) = 3

We will now calculate the prime factors of 76401 and 76413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76401 and 76413.

How to find the GCF of 76401 and 76413?

We will first find the prime factorization of 76401 and 76413. After we will calculate the factors of 76401 and 76413 and find the biggest common factor number .

Step-1: Prime Factorization of 76401

Prime factors of 76401 are 3, 13, 653. Prime factorization of 76401 in exponential form is:

76401 = 3² × 13¹ × 653¹

Step-2: Prime Factorization of 76413

Prime factors of 76413 are 3, 25471. Prime factorization of 76413 in exponential form is:

76413 = 3¹ × 25471¹

Step-3: Factors of 76401

List of positive integer factors of 76401 that divides 76401 without a remainder.

1, 3, 9, 13, 39, 117, 653, 1959, 5877, 8489, 25467

Step-4: Factors of 76413

List of positive integer factors of 76413 that divides 76401 without a remainder.

1, 3, 25471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76401 and 76413. The biggest common factor number is the GCF number.
So the greatest common factor 76401 and 76413 is 3.

Also check out the Least Common Multiple of 76401 and 76413