What is the Greatest Common Factor of 25676 and 25690?

Greatest common factor (GCF) of 25676 and 25690 is 14.

GCF(25676,25690) = 14

We will now calculate the prime factors of 25676 and 25690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25676 and 25690.

How to find the GCF of 25676 and 25690?

We will first find the prime factorization of 25676 and 25690. After we will calculate the factors of 25676 and 25690 and find the biggest common factor number .

Step-1: Prime Factorization of 25676

Prime factors of 25676 are 2, 7, 131. Prime factorization of 25676 in exponential form is:

25676 = 2² × 7² × 131¹

Step-2: 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-3: Factors of 25676

List of positive integer factors of 25676 that divides 25676 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 131, 196, 262, 524, 917, 1834, 3668, 6419, 12838

Step-4: Factors of 25690

List of positive integer factors of 25690 that divides 25676 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25676 and 25690. The biggest common factor number is the GCF number.
So the greatest common factor 25676 and 25690 is 14.

Also check out the Least Common Multiple of 25676 and 25690