What is the Greatest Common Factor of 26048 and 26067?

Greatest common factor (GCF) of 26048 and 26067 is 1.

GCF(26048,26067) = 1

We will now calculate the prime factors of 26048 and 26067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26048 and 26067.

How to find the GCF of 26048 and 26067?

We will first find the prime factorization of 26048 and 26067. After we will calculate the factors of 26048 and 26067 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 26067

Prime factors of 26067 are 3, 8689. Prime factorization of 26067 in exponential form is:

26067 = 3¹ × 8689¹

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 26067

List of positive integer factors of 26067 that divides 26048 without a remainder.

1, 3, 8689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26048 and 26067. The biggest common factor number is the GCF number.
So the greatest common factor 26048 and 26067 is 1.

Also check out the Least Common Multiple of 26048 and 26067