What is the Greatest Common Factor of 25048 and 25061?

Greatest common factor (GCF) of 25048 and 25061 is 1.

GCF(25048,25061) = 1

We will now calculate the prime factors of 25048 and 25061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25048 and 25061.

How to find the GCF of 25048 and 25061?

We will first find the prime factorization of 25048 and 25061. After we will calculate the factors of 25048 and 25061 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 25061

Prime factors of 25061 are 19, 1319. Prime factorization of 25061 in exponential form is:

25061 = 19¹ × 1319¹

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 25061

List of positive integer factors of 25061 that divides 25048 without a remainder.

1, 19, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25048 and 25061. The biggest common factor number is the GCF number.
So the greatest common factor 25048 and 25061 is 1.

Also check out the Least Common Multiple of 25048 and 25061