What is the Greatest Common Factor of 25313 and 25330?

Greatest common factor (GCF) of 25313 and 25330 is 17.

GCF(25313,25330) = 17

We will now calculate the prime factors of 25313 and 25330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25313 and 25330.

How to find the GCF of 25313 and 25330?

We will first find the prime factorization of 25313 and 25330. After we will calculate the factors of 25313 and 25330 and find the biggest common factor number .

Step-1: Prime Factorization of 25313

Prime factors of 25313 are 17, 1489. Prime factorization of 25313 in exponential form is:

25313 = 17¹ × 1489¹

Step-2: Prime Factorization of 25330

Prime factors of 25330 are 2, 5, 17, 149. Prime factorization of 25330 in exponential form is:

25330 = 2¹ × 5¹ × 17¹ × 149¹

Step-3: Factors of 25313

List of positive integer factors of 25313 that divides 25313 without a remainder.

1, 17, 1489

Step-4: Factors of 25330

List of positive integer factors of 25330 that divides 25313 without a remainder.

1, 2, 5, 10, 17, 34, 85, 149, 170, 298, 745, 1490, 2533, 5066, 12665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25313 and 25330. The biggest common factor number is the GCF number.
So the greatest common factor 25313 and 25330 is 17.

Also check out the Least Common Multiple of 25313 and 25330