What is the Greatest Common Factor of 26278 and 26288?

Greatest common factor (GCF) of 26278 and 26288 is 2.

GCF(26278,26288) = 2

We will now calculate the prime factors of 26278 and 26288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26278 and 26288.

How to find the GCF of 26278 and 26288?

We will first find the prime factorization of 26278 and 26288. After we will calculate the factors of 26278 and 26288 and find the biggest common factor number .

Step-1: Prime Factorization of 26278

Prime factors of 26278 are 2, 7, 1877. Prime factorization of 26278 in exponential form is:

26278 = 2¹ × 7¹ × 1877¹

Step-2: Prime Factorization of 26288

Prime factors of 26288 are 2, 31, 53. Prime factorization of 26288 in exponential form is:

26288 = 2⁴ × 31¹ × 53¹

Step-3: Factors of 26278

List of positive integer factors of 26278 that divides 26278 without a remainder.

1, 2, 7, 14, 1877, 3754, 13139

Step-4: Factors of 26288

List of positive integer factors of 26288 that divides 26278 without a remainder.

1, 2, 4, 8, 16, 31, 53, 62, 106, 124, 212, 248, 424, 496, 848, 1643, 3286, 6572, 13144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26278 and 26288. The biggest common factor number is the GCF number.
So the greatest common factor 26278 and 26288 is 2.

Also check out the Least Common Multiple of 26278 and 26288