What is the Greatest Common Factor of 26037 and 26048?

Greatest common factor (GCF) of 26037 and 26048 is 11.

GCF(26037,26048) = 11

We will now calculate the prime factors of 26037 and 26048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26037 and 26048.

How to find the GCF of 26037 and 26048?

We will first find the prime factorization of 26037 and 26048. After we will calculate the factors of 26037 and 26048 and find the biggest common factor number .

Step-1: Prime Factorization of 26037

Prime factors of 26037 are 3, 11, 263. Prime factorization of 26037 in exponential form is:

26037 = 3² × 11¹ × 263¹

Step-2: Prime Factorization of 26048

Prime factors of 26048 are 2, 11, 37. Prime factorization of 26048 in exponential form is:

26048 = 2⁶ × 11¹ × 37¹

Step-3: Factors of 26037

List of positive integer factors of 26037 that divides 26037 without a remainder.

1, 3, 9, 11, 33, 99, 263, 789, 2367, 2893, 8679

Step-4: Factors of 26048

List of positive integer factors of 26048 that divides 26037 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 64, 74, 88, 148, 176, 296, 352, 407, 592, 704, 814, 1184, 1628, 2368, 3256, 6512, 13024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26037 and 26048. The biggest common factor number is the GCF number.
So the greatest common factor 26037 and 26048 is 11.

Also check out the Least Common Multiple of 26037 and 26048