What is the Greatest Common Factor of 25048 and 25059?

Greatest common factor (GCF) of 25048 and 25059 is 1.

GCF(25048,25059) = 1

We will now calculate the prime factors of 25048 and 25059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25048 and 25059.

How to find the GCF of 25048 and 25059?

We will first find the prime factorization of 25048 and 25059. After we will calculate the factors of 25048 and 25059 and find the biggest common factor number .

Step-1: Prime Factorization of 25048

Prime factors of 25048 are 2, 31, 101. Prime factorization of 25048 in exponential form is:

25048 = 2³ × 31¹ × 101¹

Step-2: Prime Factorization of 25059

Prime factors of 25059 are 3, 8353. Prime factorization of 25059 in exponential form is:

25059 = 3¹ × 8353¹

Step-3: Factors of 25048

List of positive integer factors of 25048 that divides 25048 without a remainder.

1, 2, 4, 8, 31, 62, 101, 124, 202, 248, 404, 808, 3131, 6262, 12524

Step-4: Factors of 25059

List of positive integer factors of 25059 that divides 25048 without a remainder.

1, 3, 8353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25048 and 25059. The biggest common factor number is the GCF number.
So the greatest common factor 25048 and 25059 is 1.

Also check out the Least Common Multiple of 25048 and 25059