What is the Greatest Common Factor of 76419 and 76434?

Greatest common factor (GCF) of 76419 and 76434 is 3.

GCF(76419,76434) = 3

We will now calculate the prime factors of 76419 and 76434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76419 and 76434.

How to find the GCF of 76419 and 76434?

We will first find the prime factorization of 76419 and 76434. After we will calculate the factors of 76419 and 76434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76434

Prime factors of 76434 are 2, 3, 12739. Prime factorization of 76434 in exponential form is:

76434 = 2¹ × 3¹ × 12739¹

Step-3: Factors of 76419

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

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

Step-4: Factors of 76434

List of positive integer factors of 76434 that divides 76419 without a remainder.

1, 2, 3, 6, 12739, 25478, 38217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76419 and 76434. The biggest common factor number is the GCF number.
So the greatest common factor 76419 and 76434 is 3.

Also check out the Least Common Multiple of 76419 and 76434