What is the Greatest Common Factor of 26820 and 26838?

Greatest common factor (GCF) of 26820 and 26838 is 18.

GCF(26820,26838) = 18

We will now calculate the prime factors of 26820 and 26838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26820 and 26838.

How to find the GCF of 26820 and 26838?

We will first find the prime factorization of 26820 and 26838. After we will calculate the factors of 26820 and 26838 and find the biggest common factor number .

Step-1: Prime Factorization of 26820

Prime factors of 26820 are 2, 3, 5, 149. Prime factorization of 26820 in exponential form is:

26820 = 2² × 3² × 5¹ × 149¹

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 26820

List of positive integer factors of 26820 that divides 26820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 149, 180, 298, 447, 596, 745, 894, 1341, 1490, 1788, 2235, 2682, 2980, 4470, 5364, 6705, 8940, 13410

Step-4: Factors of 26838

List of positive integer factors of 26838 that divides 26820 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 26820 and 26838. The biggest common factor number is the GCF number.
So the greatest common factor 26820 and 26838 is 18.

Also check out the Least Common Multiple of 26820 and 26838