What is the Greatest Common Factor of 26523 and 26530?

Greatest common factor (GCF) of 26523 and 26530 is 7.

GCF(26523,26530) = 7

We will now calculate the prime factors of 26523 and 26530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26523 and 26530.

How to find the GCF of 26523 and 26530?

We will first find the prime factorization of 26523 and 26530. After we will calculate the factors of 26523 and 26530 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 26530

Prime factors of 26530 are 2, 5, 7, 379. Prime factorization of 26530 in exponential form is:

26530 = 2¹ × 5¹ × 7¹ × 379¹

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 26530

List of positive integer factors of 26530 that divides 26523 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 379, 758, 1895, 2653, 3790, 5306, 13265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26523 and 26530. The biggest common factor number is the GCF number.
So the greatest common factor 26523 and 26530 is 7.

Also check out the Least Common Multiple of 26523 and 26530