What is the Greatest Common Factor of 26005 and 26022?

Greatest common factor (GCF) of 26005 and 26022 is 1.

GCF(26005,26022) = 1

We will now calculate the prime factors of 26005 and 26022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26005 and 26022.

How to find the GCF of 26005 and 26022?

We will first find the prime factorization of 26005 and 26022. After we will calculate the factors of 26005 and 26022 and find the biggest common factor number .

Step-1: Prime Factorization of 26005

Prime factors of 26005 are 5, 7, 743. Prime factorization of 26005 in exponential form is:

26005 = 5¹ × 7¹ × 743¹

Step-2: Prime Factorization of 26022

Prime factors of 26022 are 2, 3, 4337. Prime factorization of 26022 in exponential form is:

26022 = 2¹ × 3¹ × 4337¹

Step-3: Factors of 26005

List of positive integer factors of 26005 that divides 26005 without a remainder.

1, 5, 7, 35, 743, 3715, 5201

Step-4: Factors of 26022

List of positive integer factors of 26022 that divides 26005 without a remainder.

1, 2, 3, 6, 4337, 8674, 13011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26005 and 26022. The biggest common factor number is the GCF number.
So the greatest common factor 26005 and 26022 is 1.

Also check out the Least Common Multiple of 26005 and 26022