What is the Greatest Common Factor of 28418 and 28434?

Greatest common factor (GCF) of 28418 and 28434 is 2.

GCF(28418,28434) = 2

We will now calculate the prime factors of 28418 and 28434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28418 and 28434.

How to find the GCF of 28418 and 28434?

We will first find the prime factorization of 28418 and 28434. After we will calculate the factors of 28418 and 28434 and find the biggest common factor number .

Step-1: Prime Factorization of 28418

Prime factors of 28418 are 2, 13, 1093. Prime factorization of 28418 in exponential form is:

28418 = 2¹ × 13¹ × 1093¹

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 28418

List of positive integer factors of 28418 that divides 28418 without a remainder.

1, 2, 13, 26, 1093, 2186, 14209

Step-4: Factors of 28434

List of positive integer factors of 28434 that divides 28418 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 28418 and 28434. The biggest common factor number is the GCF number.
So the greatest common factor 28418 and 28434 is 2.

Also check out the Least Common Multiple of 28418 and 28434