What is the Greatest Common Factor of 26523 and 26531?

Greatest common factor (GCF) of 26523 and 26531 is 1.

GCF(26523,26531) = 1

We will now calculate the prime factors of 26523 and 26531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26523 and 26531.

How to find the GCF of 26523 and 26531?

We will first find the prime factorization of 26523 and 26531. After we will calculate the factors of 26523 and 26531 and find the biggest common factor number .

Step-1: Prime Factorization of 26523

Prime factors of 26523 are 3, 7, 421. Prime factorization of 26523 in exponential form is:

26523 = 3² × 7¹ × 421¹

Step-2: Prime Factorization of 26531

Prime factors of 26531 are 43, 617. Prime factorization of 26531 in exponential form is:

26531 = 43¹ × 617¹

Step-3: Factors of 26523

List of positive integer factors of 26523 that divides 26523 without a remainder.

1, 3, 7, 9, 21, 63, 421, 1263, 2947, 3789, 8841

Step-4: Factors of 26531

List of positive integer factors of 26531 that divides 26523 without a remainder.

1, 43, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26523 and 26531. The biggest common factor number is the GCF number.
So the greatest common factor 26523 and 26531 is 1.

Also check out the Least Common Multiple of 26523 and 26531