What is the Greatest Common Factor of 26278 and 26292?

Greatest common factor (GCF) of 26278 and 26292 is 14.

GCF(26278,26292) = 14

We will now calculate the prime factors of 26278 and 26292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26278 and 26292.

How to find the GCF of 26278 and 26292?

We will first find the prime factorization of 26278 and 26292. After we will calculate the factors of 26278 and 26292 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 26292

Prime factors of 26292 are 2, 3, 7, 313. Prime factorization of 26292 in exponential form is:

26292 = 2² × 3¹ × 7¹ × 313¹

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 26292

List of positive integer factors of 26292 that divides 26278 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 313, 626, 939, 1252, 1878, 2191, 3756, 4382, 6573, 8764, 13146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26278 and 26292. The biggest common factor number is the GCF number.
So the greatest common factor 26278 and 26292 is 14.

Also check out the Least Common Multiple of 26278 and 26292