What is the Greatest Common Factor of 26082 and 26098?

Greatest common factor (GCF) of 26082 and 26098 is 2.

GCF(26082,26098) = 2

We will now calculate the prime factors of 26082 and 26098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26082 and 26098.

How to find the GCF of 26082 and 26098?

We will first find the prime factorization of 26082 and 26098. After we will calculate the factors of 26082 and 26098 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 26098

Prime factors of 26098 are 2, 13049. Prime factorization of 26098 in exponential form is:

26098 = 2¹ × 13049¹

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 26098

List of positive integer factors of 26098 that divides 26082 without a remainder.

1, 2, 13049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26082 and 26098. The biggest common factor number is the GCF number.
So the greatest common factor 26082 and 26098 is 2.

Also check out the Least Common Multiple of 26082 and 26098