What is the Greatest Common Factor of 25828 and 25842?

Greatest common factor (GCF) of 25828 and 25842 is 2.

GCF(25828,25842) = 2

We will now calculate the prime factors of 25828 and 25842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25828 and 25842.

How to find the GCF of 25828 and 25842?

We will first find the prime factorization of 25828 and 25842. After we will calculate the factors of 25828 and 25842 and find the biggest common factor number .

Step-1: Prime Factorization of 25828

Prime factors of 25828 are 2, 11, 587. Prime factorization of 25828 in exponential form is:

25828 = 2² × 11¹ × 587¹

Step-2: Prime Factorization of 25842

Prime factors of 25842 are 2, 3, 59, 73. Prime factorization of 25842 in exponential form is:

25842 = 2¹ × 3¹ × 59¹ × 73¹

Step-3: Factors of 25828

List of positive integer factors of 25828 that divides 25828 without a remainder.

1, 2, 4, 11, 22, 44, 587, 1174, 2348, 6457, 12914

Step-4: Factors of 25842

List of positive integer factors of 25842 that divides 25828 without a remainder.

1, 2, 3, 6, 59, 73, 118, 146, 177, 219, 354, 438, 4307, 8614, 12921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25828 and 25842. The biggest common factor number is the GCF number.
So the greatest common factor 25828 and 25842 is 2.

Also check out the Least Common Multiple of 25828 and 25842