What is the Greatest Common Factor of 26082 and 26089?

Greatest common factor (GCF) of 26082 and 26089 is 7.

GCF(26082,26089) = 7

We will now calculate the prime factors of 26082 and 26089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26082 and 26089.

How to find the GCF of 26082 and 26089?

We will first find the prime factorization of 26082 and 26089. After we will calculate the factors of 26082 and 26089 and find the biggest common factor number .

Step-1: Prime Factorization of 26082

Prime factors of 26082 are 2, 3, 7, 23. Prime factorization of 26082 in exponential form is:

26082 = 2¹ × 3⁴ × 7¹ × 23¹

Step-2: Prime Factorization of 26089

Prime factors of 26089 are 7, 3727. Prime factorization of 26089 in exponential form is:

26089 = 7¹ × 3727¹

Step-3: Factors of 26082

List of positive integer factors of 26082 that divides 26082 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 81, 126, 138, 161, 162, 189, 207, 322, 378, 414, 483, 567, 621, 966, 1134, 1242, 1449, 1863, 2898, 3726, 4347, 8694, 13041

Step-4: Factors of 26089

List of positive integer factors of 26089 that divides 26082 without a remainder.

1, 7, 3727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26082 and 26089. The biggest common factor number is the GCF number.
So the greatest common factor 26082 and 26089 is 7.

Also check out the Least Common Multiple of 26082 and 26089