What is the Greatest Common Factor of 26824 and 26838?

Greatest common factor (GCF) of 26824 and 26838 is 14.

GCF(26824,26838) = 14

We will now calculate the prime factors of 26824 and 26838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26824 and 26838.

How to find the GCF of 26824 and 26838?

We will first find the prime factorization of 26824 and 26838. After we will calculate the factors of 26824 and 26838 and find the biggest common factor number .

Step-1: Prime Factorization of 26824

Prime factors of 26824 are 2, 7, 479. Prime factorization of 26824 in exponential form is:

26824 = 2³ × 7¹ × 479¹

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 26824

List of positive integer factors of 26824 that divides 26824 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 479, 958, 1916, 3353, 3832, 6706, 13412

Step-4: Factors of 26838

List of positive integer factors of 26838 that divides 26824 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 26824 and 26838. The biggest common factor number is the GCF number.
So the greatest common factor 26824 and 26838 is 14.

Also check out the Least Common Multiple of 26824 and 26838