What is the Greatest Common Factor of 25538 and 25544?

Greatest common factor (GCF) of 25538 and 25544 is 2.

GCF(25538,25544) = 2

We will now calculate the prime factors of 25538 and 25544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25538 and 25544.

How to find the GCF of 25538 and 25544?

We will first find the prime factorization of 25538 and 25544. After we will calculate the factors of 25538 and 25544 and find the biggest common factor number .

Step-1: Prime Factorization of 25538

Prime factors of 25538 are 2, 113. Prime factorization of 25538 in exponential form is:

25538 = 2¹ × 113²

Step-2: Prime Factorization of 25544

Prime factors of 25544 are 2, 31, 103. Prime factorization of 25544 in exponential form is:

25544 = 2³ × 31¹ × 103¹

Step-3: Factors of 25538

List of positive integer factors of 25538 that divides 25538 without a remainder.

1, 2, 113, 226, 12769

Step-4: Factors of 25544

List of positive integer factors of 25544 that divides 25538 without a remainder.

1, 2, 4, 8, 31, 62, 103, 124, 206, 248, 412, 824, 3193, 6386, 12772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25538 and 25544. The biggest common factor number is the GCF number.
So the greatest common factor 25538 and 25544 is 2.

Also check out the Least Common Multiple of 25538 and 25544