What is the Greatest Common Factor of 26271 and 26278?

Greatest common factor (GCF) of 26271 and 26278 is 7.

GCF(26271,26278) = 7

We will now calculate the prime factors of 26271 and 26278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26271 and 26278.

How to find the GCF of 26271 and 26278?

We will first find the prime factorization of 26271 and 26278. After we will calculate the factors of 26271 and 26278 and find the biggest common factor number .

Step-1: Prime Factorization of 26271

Prime factors of 26271 are 3, 7, 139. Prime factorization of 26271 in exponential form is:

26271 = 3³ × 7¹ × 139¹

Step-2: 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-3: Factors of 26271

List of positive integer factors of 26271 that divides 26271 without a remainder.

1, 3, 7, 9, 21, 27, 63, 139, 189, 417, 973, 1251, 2919, 3753, 8757

Step-4: Factors of 26278

List of positive integer factors of 26278 that divides 26271 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26271 and 26278. The biggest common factor number is the GCF number.
So the greatest common factor 26271 and 26278 is 7.

Also check out the Least Common Multiple of 26271 and 26278