What is the Greatest Common Factor of 25340 and 25356?

Greatest common factor (GCF) of 25340 and 25356 is 4.

GCF(25340,25356) = 4

We will now calculate the prime factors of 25340 and 25356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25340 and 25356.

How to find the GCF of 25340 and 25356?

We will first find the prime factorization of 25340 and 25356. After we will calculate the factors of 25340 and 25356 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 25356

Prime factors of 25356 are 2, 3, 2113. Prime factorization of 25356 in exponential form is:

25356 = 2² × 3¹ × 2113¹

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 25356

List of positive integer factors of 25356 that divides 25340 without a remainder.

1, 2, 3, 4, 6, 12, 2113, 4226, 6339, 8452, 12678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25340 and 25356. The biggest common factor number is the GCF number.
So the greatest common factor 25340 and 25356 is 4.

Also check out the Least Common Multiple of 25340 and 25356