What is the Greatest Common Factor of 26829 and 26838?

Greatest common factor (GCF) of 26829 and 26838 is 9.

GCF(26829,26838) = 9

We will now calculate the prime factors of 26829 and 26838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26829 and 26838.

How to find the GCF of 26829 and 26838?

We will first find the prime factorization of 26829 and 26838. After we will calculate the factors of 26829 and 26838 and find the biggest common factor number .

Step-1: Prime Factorization of 26829

Prime factors of 26829 are 3, 11, 271. Prime factorization of 26829 in exponential form is:

26829 = 3² × 11¹ × 271¹

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 26829

List of positive integer factors of 26829 that divides 26829 without a remainder.

1, 3, 9, 11, 33, 99, 271, 813, 2439, 2981, 8943

Step-4: Factors of 26838

List of positive integer factors of 26838 that divides 26829 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 26829 and 26838. The biggest common factor number is the GCF number.
So the greatest common factor 26829 and 26838 is 9.

Also check out the Least Common Multiple of 26829 and 26838