What is the Greatest Common Factor of 76413 and 76419?

Greatest common factor (GCF) of 76413 and 76419 is 3.

GCF(76413,76419) = 3

We will now calculate the prime factors of 76413 and 76419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76413 and 76419.

How to find the GCF of 76413 and 76419?

We will first find the prime factorization of 76413 and 76419. After we will calculate the factors of 76413 and 76419 and find the biggest common factor number .

Step-1: Prime Factorization of 76413

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

76413 = 3¹ × 25471¹

Step-2: Prime Factorization of 76419

Prime factors of 76419 are 3, 7, 1213. Prime factorization of 76419 in exponential form is:

76419 = 3² × 7¹ × 1213¹

Step-3: Factors of 76413

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

1, 3, 25471

Step-4: Factors of 76419

List of positive integer factors of 76419 that divides 76413 without a remainder.

1, 3, 7, 9, 21, 63, 1213, 3639, 8491, 10917, 25473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76413 and 76419. The biggest common factor number is the GCF number.
So the greatest common factor 76413 and 76419 is 3.

Also check out the Least Common Multiple of 76413 and 76419