What is the Greatest Common Factor of 26048 and 26058?

Greatest common factor (GCF) of 26048 and 26058 is 2.

GCF(26048,26058) = 2

We will now calculate the prime factors of 26048 and 26058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26048 and 26058.

How to find the GCF of 26048 and 26058?

We will first find the prime factorization of 26048 and 26058. After we will calculate the factors of 26048 and 26058 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26058

Prime factors of 26058 are 2, 3, 43, 101. Prime factorization of 26058 in exponential form is:

26058 = 2¹ × 3¹ × 43¹ × 101¹

Step-3: Factors of 26048

List of positive integer factors of 26048 that divides 26048 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

Step-4: Factors of 26058

List of positive integer factors of 26058 that divides 26048 without a remainder.

1, 2, 3, 6, 43, 86, 101, 129, 202, 258, 303, 606, 4343, 8686, 13029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26048 and 26058. The biggest common factor number is the GCF number.
So the greatest common factor 26048 and 26058 is 2.

Also check out the Least Common Multiple of 26048 and 26058