What is the Greatest Common Factor of 26450 and 26461?

Greatest common factor (GCF) of 26450 and 26461 is 1.

GCF(26450,26461) = 1

We will now calculate the prime factors of 26450 and 26461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26450 and 26461.

How to find the GCF of 26450 and 26461?

We will first find the prime factorization of 26450 and 26461. After we will calculate the factors of 26450 and 26461 and find the biggest common factor number .

Step-1: Prime Factorization of 26450

Prime factors of 26450 are 2, 5, 23. Prime factorization of 26450 in exponential form is:

26450 = 2¹ × 5² × 23²

Step-2: Prime Factorization of 26461

Prime factors of 26461 are 47, 563. Prime factorization of 26461 in exponential form is:

26461 = 47¹ × 563¹

Step-3: Factors of 26450

List of positive integer factors of 26450 that divides 26450 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 529, 575, 1058, 1150, 2645, 5290, 13225

Step-4: Factors of 26461

List of positive integer factors of 26461 that divides 26450 without a remainder.

1, 47, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26450 and 26461. The biggest common factor number is the GCF number.
So the greatest common factor 26450 and 26461 is 1.

Also check out the Least Common Multiple of 26450 and 26461