What is the Greatest Common Factor of 26500 and 26519?

Greatest common factor (GCF) of 26500 and 26519 is 1.

GCF(26500,26519) = 1

We will now calculate the prime factors of 26500 and 26519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26500 and 26519.

How to find the GCF of 26500 and 26519?

We will first find the prime factorization of 26500 and 26519. After we will calculate the factors of 26500 and 26519 and find the biggest common factor number .

Step-1: Prime Factorization of 26500

Prime factors of 26500 are 2, 5, 53. Prime factorization of 26500 in exponential form is:

26500 = 2² × 5³ × 53¹

Step-2: Prime Factorization of 26519

Prime factors of 26519 are 23, 1153. Prime factorization of 26519 in exponential form is:

26519 = 23¹ × 1153¹

Step-3: Factors of 26500

List of positive integer factors of 26500 that divides 26500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 125, 212, 250, 265, 500, 530, 1060, 1325, 2650, 5300, 6625, 13250

Step-4: Factors of 26519

List of positive integer factors of 26519 that divides 26500 without a remainder.

1, 23, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26500 and 26519. The biggest common factor number is the GCF number.
So the greatest common factor 26500 and 26519 is 1.

Also check out the Least Common Multiple of 26500 and 26519