What is the Greatest Common Factor of 26048 and 26063?

Greatest common factor (GCF) of 26048 and 26063 is 1.

GCF(26048,26063) = 1

We will now calculate the prime factors of 26048 and 26063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26048 and 26063.

How to find the GCF of 26048 and 26063?

We will first find the prime factorization of 26048 and 26063. After we will calculate the factors of 26048 and 26063 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 26063

Prime factors of 26063 are 67, 389. Prime factorization of 26063 in exponential form is:

26063 = 67¹ × 389¹

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 26063

List of positive integer factors of 26063 that divides 26048 without a remainder.

1, 67, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26048 and 26063. The biggest common factor number is the GCF number.
So the greatest common factor 26048 and 26063 is 1.

Also check out the Least Common Multiple of 26048 and 26063