What is the Greatest Common Factor of 26600 and 26609?

Greatest common factor (GCF) of 26600 and 26609 is 1.

GCF(26600,26609) = 1

We will now calculate the prime factors of 26600 and 26609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26600 and 26609.

How to find the GCF of 26600 and 26609?

We will first find the prime factorization of 26600 and 26609. After we will calculate the factors of 26600 and 26609 and find the biggest common factor number .

Step-1: Prime Factorization of 26600

Prime factors of 26600 are 2, 5, 7, 19. Prime factorization of 26600 in exponential form is:

26600 = 2³ × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 26609

Prime factors of 26609 are 11, 41, 59. Prime factorization of 26609 in exponential form is:

26609 = 11¹ × 41¹ × 59¹

Step-3: Factors of 26600

List of positive integer factors of 26600 that divides 26600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 25, 28, 35, 38, 40, 50, 56, 70, 76, 95, 100, 133, 140, 152, 175, 190, 200, 266, 280, 350, 380, 475, 532, 665, 700, 760, 950, 1064, 1330, 1400, 1900, 2660, 3325, 3800, 5320, 6650, 13300

Step-4: Factors of 26609

List of positive integer factors of 26609 that divides 26600 without a remainder.

1, 11, 41, 59, 451, 649, 2419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26600 and 26609. The biggest common factor number is the GCF number.
So the greatest common factor 26600 and 26609 is 1.

Also check out the Least Common Multiple of 26600 and 26609