What is the Greatest Common Factor of 28419 and 28434?

Greatest common factor (GCF) of 28419 and 28434 is 3.

GCF(28419,28434) = 3

We will now calculate the prime factors of 28419 and 28434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28419 and 28434.

How to find the GCF of 28419 and 28434?

We will first find the prime factorization of 28419 and 28434. After we will calculate the factors of 28419 and 28434 and find the biggest common factor number .

Step-1: Prime Factorization of 28419

Prime factors of 28419 are 3, 9473. Prime factorization of 28419 in exponential form is:

28419 = 3¹ × 9473¹

Step-2: Prime Factorization of 28434

Prime factors of 28434 are 2, 3, 7, 677. Prime factorization of 28434 in exponential form is:

28434 = 2¹ × 3¹ × 7¹ × 677¹

Step-3: Factors of 28419

List of positive integer factors of 28419 that divides 28419 without a remainder.

1, 3, 9473

Step-4: Factors of 28434

List of positive integer factors of 28434 that divides 28419 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 677, 1354, 2031, 4062, 4739, 9478, 14217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28419 and 28434. The biggest common factor number is the GCF number.
So the greatest common factor 28419 and 28434 is 3.

Also check out the Least Common Multiple of 28419 and 28434