What is the Greatest Common Factor of 26725 and 26741?

Greatest common factor (GCF) of 26725 and 26741 is 1.

GCF(26725,26741) = 1

We will now calculate the prime factors of 26725 and 26741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26725 and 26741.

How to find the GCF of 26725 and 26741?

We will first find the prime factorization of 26725 and 26741. After we will calculate the factors of 26725 and 26741 and find the biggest common factor number .

Step-1: Prime Factorization of 26725

Prime factors of 26725 are 5, 1069. Prime factorization of 26725 in exponential form is:

26725 = 5² × 1069¹

Step-2: Prime Factorization of 26741

Prime factors of 26741 are 11, 13, 17. Prime factorization of 26741 in exponential form is:

26741 = 11² × 13¹ × 17¹

Step-3: Factors of 26725

List of positive integer factors of 26725 that divides 26725 without a remainder.

1, 5, 25, 1069, 5345

Step-4: Factors of 26741

List of positive integer factors of 26741 that divides 26725 without a remainder.

1, 11, 13, 17, 121, 143, 187, 221, 1573, 2057, 2431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26725 and 26741. The biggest common factor number is the GCF number.
So the greatest common factor 26725 and 26741 is 1.

Also check out the Least Common Multiple of 26725 and 26741