What is the Greatest Common Factor of 26589 and 26602?

Greatest common factor (GCF) of 26589 and 26602 is 1.

GCF(26589,26602) = 1

We will now calculate the prime factors of 26589 and 26602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26589 and 26602.

How to find the GCF of 26589 and 26602?

We will first find the prime factorization of 26589 and 26602. After we will calculate the factors of 26589 and 26602 and find the biggest common factor number .

Step-1: Prime Factorization of 26589

Prime factors of 26589 are 3, 8863. Prime factorization of 26589 in exponential form is:

26589 = 3¹ × 8863¹

Step-2: Prime Factorization of 26602

Prime factors of 26602 are 2, 47, 283. Prime factorization of 26602 in exponential form is:

26602 = 2¹ × 47¹ × 283¹

Step-3: Factors of 26589

List of positive integer factors of 26589 that divides 26589 without a remainder.

1, 3, 8863

Step-4: Factors of 26602

List of positive integer factors of 26602 that divides 26589 without a remainder.

1, 2, 47, 94, 283, 566, 13301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26589 and 26602. The biggest common factor number is the GCF number.
So the greatest common factor 26589 and 26602 is 1.

Also check out the Least Common Multiple of 26589 and 26602