What is the Greatest Common Factor of 26435 and 26452?

Greatest common factor (GCF) of 26435 and 26452 is 17.

GCF(26435,26452) = 17

We will now calculate the prime factors of 26435 and 26452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26435 and 26452.

How to find the GCF of 26435 and 26452?

We will first find the prime factorization of 26435 and 26452. After we will calculate the factors of 26435 and 26452 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 26452

Prime factors of 26452 are 2, 17, 389. Prime factorization of 26452 in exponential form is:

26452 = 2² × 17¹ × 389¹

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 26452

List of positive integer factors of 26452 that divides 26435 without a remainder.

1, 2, 4, 17, 34, 68, 389, 778, 1556, 6613, 13226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26435 and 26452. The biggest common factor number is the GCF number.
So the greatest common factor 26435 and 26452 is 17.

Also check out the Least Common Multiple of 26435 and 26452