What is the Greatest Common Factor of 26085 and 26097?

Greatest common factor (GCF) of 26085 and 26097 is 3.

GCF(26085,26097) = 3

We will now calculate the prime factors of 26085 and 26097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26085 and 26097.

How to find the GCF of 26085 and 26097?

We will first find the prime factorization of 26085 and 26097. After we will calculate the factors of 26085 and 26097 and find the biggest common factor number .

Step-1: Prime Factorization of 26085

Prime factors of 26085 are 3, 5, 37, 47. Prime factorization of 26085 in exponential form is:

26085 = 3¹ × 5¹ × 37¹ × 47¹

Step-2: Prime Factorization of 26097

Prime factors of 26097 are 3, 8699. Prime factorization of 26097 in exponential form is:

26097 = 3¹ × 8699¹

Step-3: Factors of 26085

List of positive integer factors of 26085 that divides 26085 without a remainder.

1, 3, 5, 15, 37, 47, 111, 141, 185, 235, 555, 705, 1739, 5217, 8695

Step-4: Factors of 26097

List of positive integer factors of 26097 that divides 26085 without a remainder.

1, 3, 8699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26085 and 26097. The biggest common factor number is the GCF number.
So the greatest common factor 26085 and 26097 is 3.

Also check out the Least Common Multiple of 26085 and 26097