What is the Greatest Common Factor of 26585 and 26592?

Greatest common factor (GCF) of 26585 and 26592 is 1.

GCF(26585,26592) = 1

We will now calculate the prime factors of 26585 and 26592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26585 and 26592.

How to find the GCF of 26585 and 26592?

We will first find the prime factorization of 26585 and 26592. After we will calculate the factors of 26585 and 26592 and find the biggest common factor number .

Step-1: Prime Factorization of 26585

Prime factors of 26585 are 5, 13, 409. Prime factorization of 26585 in exponential form is:

26585 = 5¹ × 13¹ × 409¹

Step-2: Prime Factorization of 26592

Prime factors of 26592 are 2, 3, 277. Prime factorization of 26592 in exponential form is:

26592 = 2⁵ × 3¹ × 277¹

Step-3: Factors of 26585

List of positive integer factors of 26585 that divides 26585 without a remainder.

1, 5, 13, 65, 409, 2045, 5317

Step-4: Factors of 26592

List of positive integer factors of 26592 that divides 26585 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 277, 554, 831, 1108, 1662, 2216, 3324, 4432, 6648, 8864, 13296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26585 and 26592. The biggest common factor number is the GCF number.
So the greatest common factor 26585 and 26592 is 1.

Also check out the Least Common Multiple of 26585 and 26592