What is the Greatest Common Factor of 28408 and 28414?

Greatest common factor (GCF) of 28408 and 28414 is 2.

GCF(28408,28414) = 2

We will now calculate the prime factors of 28408 and 28414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28408 and 28414.

How to find the GCF of 28408 and 28414?

We will first find the prime factorization of 28408 and 28414. After we will calculate the factors of 28408 and 28414 and find the biggest common factor number .

Step-1: Prime Factorization of 28408

Prime factors of 28408 are 2, 53, 67. Prime factorization of 28408 in exponential form is:

28408 = 2³ × 53¹ × 67¹

Step-2: Prime Factorization of 28414

Prime factors of 28414 are 2, 14207. Prime factorization of 28414 in exponential form is:

28414 = 2¹ × 14207¹

Step-3: Factors of 28408

List of positive integer factors of 28408 that divides 28408 without a remainder.

1, 2, 4, 8, 53, 67, 106, 134, 212, 268, 424, 536, 3551, 7102, 14204

Step-4: Factors of 28414

List of positive integer factors of 28414 that divides 28408 without a remainder.

1, 2, 14207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28408 and 28414. The biggest common factor number is the GCF number.
So the greatest common factor 28408 and 28414 is 2.

Also check out the Least Common Multiple of 28408 and 28414