What is the Greatest Common Factor of 26034 and 26048?

Greatest common factor (GCF) of 26034 and 26048 is 2.

GCF(26034,26048) = 2

We will now calculate the prime factors of 26034 and 26048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26034 and 26048.

How to find the GCF of 26034 and 26048?

We will first find the prime factorization of 26034 and 26048. After we will calculate the factors of 26034 and 26048 and find the biggest common factor number .

Step-1: Prime Factorization of 26034

Prime factors of 26034 are 2, 3, 4339. Prime factorization of 26034 in exponential form is:

26034 = 2¹ × 3¹ × 4339¹

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 26034

List of positive integer factors of 26034 that divides 26034 without a remainder.

1, 2, 3, 6, 4339, 8678, 13017

Step-4: Factors of 26048

List of positive integer factors of 26048 that divides 26034 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 26034 and 26048. The biggest common factor number is the GCF number.
So the greatest common factor 26034 and 26048 is 2.

Also check out the Least Common Multiple of 26034 and 26048