What is the Greatest Common Factor of 26827 and 26838?

Greatest common factor (GCF) of 26827 and 26838 is 1.

GCF(26827,26838) = 1

We will now calculate the prime factors of 26827 and 26838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26827 and 26838.

How to find the GCF of 26827 and 26838?

We will first find the prime factorization of 26827 and 26838. After we will calculate the factors of 26827 and 26838 and find the biggest common factor number .

Step-1: Prime Factorization of 26827

Prime factors of 26827 are 139, 193. Prime factorization of 26827 in exponential form is:

26827 = 139¹ × 193¹

Step-2: Prime Factorization of 26838

Prime factors of 26838 are 2, 3, 7, 71. Prime factorization of 26838 in exponential form is:

26838 = 2¹ × 3³ × 7¹ × 71¹

Step-3: Factors of 26827

List of positive integer factors of 26827 that divides 26827 without a remainder.

1, 139, 193

Step-4: Factors of 26838

List of positive integer factors of 26838 that divides 26827 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 71, 126, 142, 189, 213, 378, 426, 497, 639, 994, 1278, 1491, 1917, 2982, 3834, 4473, 8946, 13419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26827 and 26838. The biggest common factor number is the GCF number.
So the greatest common factor 26827 and 26838 is 1.

Also check out the Least Common Multiple of 26827 and 26838