What is the Greatest Common Factor of 26019 and 26026?

Greatest common factor (GCF) of 26019 and 26026 is 7.

GCF(26019,26026) = 7

We will now calculate the prime factors of 26019 and 26026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26019 and 26026.

How to find the GCF of 26019 and 26026?

We will first find the prime factorization of 26019 and 26026. After we will calculate the factors of 26019 and 26026 and find the biggest common factor number .

Step-1: Prime Factorization of 26019

Prime factors of 26019 are 3, 7, 59. Prime factorization of 26019 in exponential form is:

26019 = 3² × 7² × 59¹

Step-2: Prime Factorization of 26026

Prime factors of 26026 are 2, 7, 11, 13. Prime factorization of 26026 in exponential form is:

26026 = 2¹ × 7¹ × 11¹ × 13²

Step-3: Factors of 26019

List of positive integer factors of 26019 that divides 26019 without a remainder.

1, 3, 7, 9, 21, 49, 59, 63, 147, 177, 413, 441, 531, 1239, 2891, 3717, 8673

Step-4: Factors of 26026

List of positive integer factors of 26026 that divides 26019 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 169, 182, 286, 338, 1001, 1183, 1859, 2002, 2366, 3718, 13013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26019 and 26026. The biggest common factor number is the GCF number.
So the greatest common factor 26019 and 26026 is 7.

Also check out the Least Common Multiple of 26019 and 26026