What is the Greatest Common Factor of 26725 and 26734?

Greatest common factor (GCF) of 26725 and 26734 is 1.

GCF(26725,26734) = 1

We will now calculate the prime factors of 26725 and 26734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26725 and 26734.

How to find the GCF of 26725 and 26734?

We will first find the prime factorization of 26725 and 26734. After we will calculate the factors of 26725 and 26734 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 26734

Prime factors of 26734 are 2, 13367. Prime factorization of 26734 in exponential form is:

26734 = 2¹ × 13367¹

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 26734

List of positive integer factors of 26734 that divides 26725 without a remainder.

1, 2, 13367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26725 and 26734. The biggest common factor number is the GCF number.
So the greatest common factor 26725 and 26734 is 1.

Also check out the Least Common Multiple of 26725 and 26734