What is the Greatest Common Factor of 28391 and 28408?

Greatest common factor (GCF) of 28391 and 28408 is 1.

GCF(28391,28408) = 1

We will now calculate the prime factors of 28391 and 28408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28391 and 28408.

How to find the GCF of 28391 and 28408?

We will first find the prime factorization of 28391 and 28408. After we will calculate the factors of 28391 and 28408 and find the biggest common factor number .

Step-1: Prime Factorization of 28391

Prime factors of 28391 are 11, 29, 89. Prime factorization of 28391 in exponential form is:

28391 = 11¹ × 29¹ × 89¹

Step-2: 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-3: Factors of 28391

List of positive integer factors of 28391 that divides 28391 without a remainder.

1, 11, 29, 89, 319, 979, 2581

Step-4: Factors of 28408

List of positive integer factors of 28408 that divides 28391 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28391 and 28408. The biggest common factor number is the GCF number.
So the greatest common factor 28391 and 28408 is 1.

Also check out the Least Common Multiple of 28391 and 28408