What is the Greatest Common Factor of 25340 and 25355?

Greatest common factor (GCF) of 25340 and 25355 is 5.

GCF(25340,25355) = 5

We will now calculate the prime factors of 25340 and 25355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25340 and 25355.

How to find the GCF of 25340 and 25355?

We will first find the prime factorization of 25340 and 25355. After we will calculate the factors of 25340 and 25355 and find the biggest common factor number .

Step-1: Prime Factorization of 25340

Prime factors of 25340 are 2, 5, 7, 181. Prime factorization of 25340 in exponential form is:

25340 = 2² × 5¹ × 7¹ × 181¹

Step-2: Prime Factorization of 25355

Prime factors of 25355 are 5, 11, 461. Prime factorization of 25355 in exponential form is:

25355 = 5¹ × 11¹ × 461¹

Step-3: Factors of 25340

List of positive integer factors of 25340 that divides 25340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 181, 362, 724, 905, 1267, 1810, 2534, 3620, 5068, 6335, 12670

Step-4: Factors of 25355

List of positive integer factors of 25355 that divides 25340 without a remainder.

1, 5, 11, 55, 461, 2305, 5071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25340 and 25355. The biggest common factor number is the GCF number.
So the greatest common factor 25340 and 25355 is 5.

Also check out the Least Common Multiple of 25340 and 25355