What is the Greatest Common Factor of 26838 and 26857?

Greatest common factor (GCF) of 26838 and 26857 is 1.

GCF(26838,26857) = 1

We will now calculate the prime factors of 26838 and 26857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26838 and 26857.

How to find the GCF of 26838 and 26857?

We will first find the prime factorization of 26838 and 26857. After we will calculate the factors of 26838 and 26857 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 26857

Prime factors of 26857 are 107, 251. Prime factorization of 26857 in exponential form is:

26857 = 107¹ × 251¹

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 26857

List of positive integer factors of 26857 that divides 26838 without a remainder.

1, 107, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26838 and 26857. The biggest common factor number is the GCF number.
So the greatest common factor 26838 and 26857 is 1.

Also check out the Least Common Multiple of 26838 and 26857