What is the Greatest Common Factor of 26500 and 26509?

Greatest common factor (GCF) of 26500 and 26509 is 1.

GCF(26500,26509) = 1

We will now calculate the prime factors of 26500 and 26509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26500 and 26509.

How to find the GCF of 26500 and 26509?

We will first find the prime factorization of 26500 and 26509. After we will calculate the factors of 26500 and 26509 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 26509

Prime factors of 26509 are 7, 541. Prime factorization of 26509 in exponential form is:

26509 = 7² × 541¹

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 26509

List of positive integer factors of 26509 that divides 26500 without a remainder.

1, 7, 49, 541, 3787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26500 and 26509. The biggest common factor number is the GCF number.
So the greatest common factor 26500 and 26509 is 1.

Also check out the Least Common Multiple of 26500 and 26509