What is the Greatest Common Factor of 26435 and 26449?

Greatest common factor (GCF) of 26435 and 26449 is 1.

GCF(26435,26449) = 1

We will now calculate the prime factors of 26435 and 26449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26435 and 26449.

How to find the GCF of 26435 and 26449?

We will first find the prime factorization of 26435 and 26449. After we will calculate the factors of 26435 and 26449 and find the biggest common factor number .

Step-1: Prime Factorization of 26435

Prime factors of 26435 are 5, 17, 311. Prime factorization of 26435 in exponential form is:

26435 = 5¹ × 17¹ × 311¹

Step-2: Prime Factorization of 26449

Prime factors of 26449 are 26449. Prime factorization of 26449 in exponential form is:

26449 = 26449¹

Step-3: Factors of 26435

List of positive integer factors of 26435 that divides 26435 without a remainder.

1, 5, 17, 85, 311, 1555, 5287

Step-4: Factors of 26449

List of positive integer factors of 26449 that divides 26435 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26435 and 26449. The biggest common factor number is the GCF number.
So the greatest common factor 26435 and 26449 is 1.

Also check out the Least Common Multiple of 26435 and 26449