What is the Greatest Common Factor of 25690 and 25705?

Greatest common factor (GCF) of 25690 and 25705 is 5.

GCF(25690,25705) = 5

We will now calculate the prime factors of 25690 and 25705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25690 and 25705.

How to find the GCF of 25690 and 25705?

We will first find the prime factorization of 25690 and 25705. After we will calculate the factors of 25690 and 25705 and find the biggest common factor number .

Step-1: Prime Factorization of 25690

Prime factors of 25690 are 2, 5, 7, 367. Prime factorization of 25690 in exponential form is:

25690 = 2¹ × 5¹ × 7¹ × 367¹

Step-2: Prime Factorization of 25705

Prime factors of 25705 are 5, 53, 97. Prime factorization of 25705 in exponential form is:

25705 = 5¹ × 53¹ × 97¹

Step-3: Factors of 25690

List of positive integer factors of 25690 that divides 25690 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 367, 734, 1835, 2569, 3670, 5138, 12845

Step-4: Factors of 25705

List of positive integer factors of 25705 that divides 25690 without a remainder.

1, 5, 53, 97, 265, 485, 5141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25690 and 25705. The biggest common factor number is the GCF number.
So the greatest common factor 25690 and 25705 is 5.

Also check out the Least Common Multiple of 25690 and 25705