What is the Greatest Common Factor of 26442 and 26457?

Greatest common factor (GCF) of 26442 and 26457 is 3.

GCF(26442,26457) = 3

We will now calculate the prime factors of 26442 and 26457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26442 and 26457.

How to find the GCF of 26442 and 26457?

We will first find the prime factorization of 26442 and 26457. After we will calculate the factors of 26442 and 26457 and find the biggest common factor number .

Step-1: Prime Factorization of 26442

Prime factors of 26442 are 2, 3, 13, 113. Prime factorization of 26442 in exponential form is:

26442 = 2¹ × 3² × 13¹ × 113¹

Step-2: Prime Factorization of 26457

Prime factors of 26457 are 3, 8819. Prime factorization of 26457 in exponential form is:

26457 = 3¹ × 8819¹

Step-3: Factors of 26442

List of positive integer factors of 26442 that divides 26442 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 113, 117, 226, 234, 339, 678, 1017, 1469, 2034, 2938, 4407, 8814, 13221

Step-4: Factors of 26457

List of positive integer factors of 26457 that divides 26442 without a remainder.

1, 3, 8819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26442 and 26457. The biggest common factor number is the GCF number.
So the greatest common factor 26442 and 26457 is 3.

Also check out the Least Common Multiple of 26442 and 26457