What is the Greatest Common Factor of 26585 and 26596?

Greatest common factor (GCF) of 26585 and 26596 is 1.

GCF(26585,26596) = 1

We will now calculate the prime factors of 26585 and 26596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26585 and 26596.

How to find the GCF of 26585 and 26596?

We will first find the prime factorization of 26585 and 26596. After we will calculate the factors of 26585 and 26596 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 26596

Prime factors of 26596 are 2, 61, 109. Prime factorization of 26596 in exponential form is:

26596 = 2² × 61¹ × 109¹

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 26596

List of positive integer factors of 26596 that divides 26585 without a remainder.

1, 2, 4, 61, 109, 122, 218, 244, 436, 6649, 13298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26585 and 26596. The biggest common factor number is the GCF number.
So the greatest common factor 26585 and 26596 is 1.

Also check out the Least Common Multiple of 26585 and 26596