What is the Greatest Common Factor of 28814 and 28834?

Greatest common factor (GCF) of 28814 and 28834 is 2.

GCF(28814,28834) = 2

We will now calculate the prime factors of 28814 and 28834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28814 and 28834.

How to find the GCF of 28814 and 28834?

We will first find the prime factorization of 28814 and 28834. After we will calculate the factors of 28814 and 28834 and find the biggest common factor number .

Step-1: Prime Factorization of 28814

Prime factors of 28814 are 2, 14407. Prime factorization of 28814 in exponential form is:

28814 = 2¹ × 14407¹

Step-2: Prime Factorization of 28834

Prime factors of 28834 are 2, 13, 1109. Prime factorization of 28834 in exponential form is:

28834 = 2¹ × 13¹ × 1109¹

Step-3: Factors of 28814

List of positive integer factors of 28814 that divides 28814 without a remainder.

1, 2, 14407

Step-4: Factors of 28834

List of positive integer factors of 28834 that divides 28814 without a remainder.

1, 2, 13, 26, 1109, 2218, 14417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28814 and 28834. The biggest common factor number is the GCF number.
So the greatest common factor 28814 and 28834 is 2.

Also check out the Least Common Multiple of 28814 and 28834