What is the Greatest Common Factor of 28425 and 28434?

Greatest common factor (GCF) of 28425 and 28434 is 3.

GCF(28425,28434) = 3

We will now calculate the prime factors of 28425 and 28434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28425 and 28434.

How to find the GCF of 28425 and 28434?

We will first find the prime factorization of 28425 and 28434. After we will calculate the factors of 28425 and 28434 and find the biggest common factor number .

Step-1: Prime Factorization of 28425

Prime factors of 28425 are 3, 5, 379. Prime factorization of 28425 in exponential form is:

28425 = 3¹ × 5² × 379¹

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 28425

List of positive integer factors of 28425 that divides 28425 without a remainder.

1, 3, 5, 15, 25, 75, 379, 1137, 1895, 5685, 9475

Step-4: Factors of 28434

List of positive integer factors of 28434 that divides 28425 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 28425 and 28434. The biggest common factor number is the GCF number.
So the greatest common factor 28425 and 28434 is 3.

Also check out the Least Common Multiple of 28425 and 28434