What is the Greatest Common Factor of 26052 and 26059?

Greatest common factor (GCF) of 26052 and 26059 is 1.

GCF(26052,26059) = 1

We will now calculate the prime factors of 26052 and 26059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26052 and 26059.

How to find the GCF of 26052 and 26059?

We will first find the prime factorization of 26052 and 26059. After we will calculate the factors of 26052 and 26059 and find the biggest common factor number .

Step-1: Prime Factorization of 26052

Prime factors of 26052 are 2, 3, 13, 167. Prime factorization of 26052 in exponential form is:

26052 = 2² × 3¹ × 13¹ × 167¹

Step-2: Prime Factorization of 26059

Prime factors of 26059 are 11, 23, 103. Prime factorization of 26059 in exponential form is:

26059 = 11¹ × 23¹ × 103¹

Step-3: Factors of 26052

List of positive integer factors of 26052 that divides 26052 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 167, 334, 501, 668, 1002, 2004, 2171, 4342, 6513, 8684, 13026

Step-4: Factors of 26059

List of positive integer factors of 26059 that divides 26052 without a remainder.

1, 11, 23, 103, 253, 1133, 2369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26052 and 26059. The biggest common factor number is the GCF number.
So the greatest common factor 26052 and 26059 is 1.

Also check out the Least Common Multiple of 26052 and 26059