What is the Greatest Common Factor of 25945 and 25955?

Greatest common factor (GCF) of 25945 and 25955 is 5.

GCF(25945,25955) = 5

We will now calculate the prime factors of 25945 and 25955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25945 and 25955.

How to find the GCF of 25945 and 25955?

We will first find the prime factorization of 25945 and 25955. After we will calculate the factors of 25945 and 25955 and find the biggest common factor number .

Step-1: Prime Factorization of 25945

Prime factors of 25945 are 5, 5189. Prime factorization of 25945 in exponential form is:

25945 = 5¹ × 5189¹

Step-2: Prime Factorization of 25955

Prime factors of 25955 are 5, 29, 179. Prime factorization of 25955 in exponential form is:

25955 = 5¹ × 29¹ × 179¹

Step-3: Factors of 25945

List of positive integer factors of 25945 that divides 25945 without a remainder.

1, 5, 5189

Step-4: Factors of 25955

List of positive integer factors of 25955 that divides 25945 without a remainder.

1, 5, 29, 145, 179, 895, 5191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25945 and 25955. The biggest common factor number is the GCF number.
So the greatest common factor 25945 and 25955 is 5.

Also check out the Least Common Multiple of 25945 and 25955