What is the Greatest Common Factor of 28834 and 28852?

Greatest common factor (GCF) of 28834 and 28852 is 2.

GCF(28834,28852) = 2

We will now calculate the prime factors of 28834 and 28852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28834 and 28852.

How to find the GCF of 28834 and 28852?

We will first find the prime factorization of 28834 and 28852. After we will calculate the factors of 28834 and 28852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28852

Prime factors of 28852 are 2, 7213. Prime factorization of 28852 in exponential form is:

28852 = 2² × 7213¹

Step-3: Factors of 28834

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

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

Step-4: Factors of 28852

List of positive integer factors of 28852 that divides 28834 without a remainder.

1, 2, 4, 7213, 14426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28834 and 28852. The biggest common factor number is the GCF number.
So the greatest common factor 28834 and 28852 is 2.

Also check out the Least Common Multiple of 28834 and 28852