What is the Greatest Common Factor of 26019 and 26033?

Greatest common factor (GCF) of 26019 and 26033 is 7.

GCF(26019,26033) = 7

We will now calculate the prime factors of 26019 and 26033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26019 and 26033.

How to find the GCF of 26019 and 26033?

We will first find the prime factorization of 26019 and 26033. After we will calculate the factors of 26019 and 26033 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 26033

Prime factors of 26033 are 7, 3719. Prime factorization of 26033 in exponential form is:

26033 = 7¹ × 3719¹

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 26033

List of positive integer factors of 26033 that divides 26019 without a remainder.

1, 7, 3719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26019 and 26033. The biggest common factor number is the GCF number.
So the greatest common factor 26019 and 26033 is 7.

Also check out the Least Common Multiple of 26019 and 26033