What is the Greatest Common Factor of 26038 and 26052?

Greatest common factor (GCF) of 26038 and 26052 is 2.

GCF(26038,26052) = 2

We will now calculate the prime factors of 26038 and 26052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26038 and 26052.

How to find the GCF of 26038 and 26052?

We will first find the prime factorization of 26038 and 26052. After we will calculate the factors of 26038 and 26052 and find the biggest common factor number .

Step-1: Prime Factorization of 26038

Prime factors of 26038 are 2, 47, 277. Prime factorization of 26038 in exponential form is:

26038 = 2¹ × 47¹ × 277¹

Step-2: 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-3: Factors of 26038

List of positive integer factors of 26038 that divides 26038 without a remainder.

1, 2, 47, 94, 277, 554, 13019

Step-4: Factors of 26052

List of positive integer factors of 26052 that divides 26038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26038 and 26052. The biggest common factor number is the GCF number.
So the greatest common factor 26038 and 26052 is 2.

Also check out the Least Common Multiple of 26038 and 26052