What is the Greatest Common Factor of 26838 and 26854?

Greatest common factor (GCF) of 26838 and 26854 is 2.

GCF(26838,26854) = 2

We will now calculate the prime factors of 26838 and 26854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26838 and 26854.

How to find the GCF of 26838 and 26854?

We will first find the prime factorization of 26838 and 26854. After we will calculate the factors of 26838 and 26854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26854

Prime factors of 26854 are 2, 29, 463. Prime factorization of 26854 in exponential form is:

26854 = 2¹ × 29¹ × 463¹

Step-3: Factors of 26838

List of positive integer factors of 26838 that divides 26838 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

Step-4: Factors of 26854

List of positive integer factors of 26854 that divides 26838 without a remainder.

1, 2, 29, 58, 463, 926, 13427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26838 and 26854. The biggest common factor number is the GCF number.
So the greatest common factor 26838 and 26854 is 2.

Also check out the Least Common Multiple of 26838 and 26854