What is the Greatest Common Factor of 26429 and 26442?

Greatest common factor (GCF) of 26429 and 26442 is 13.

GCF(26429,26442) = 13

We will now calculate the prime factors of 26429 and 26442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26429 and 26442.

How to find the GCF of 26429 and 26442?

We will first find the prime factorization of 26429 and 26442. After we will calculate the factors of 26429 and 26442 and find the biggest common factor number .

Step-1: Prime Factorization of 26429

Prime factors of 26429 are 13, 19, 107. Prime factorization of 26429 in exponential form is:

26429 = 13¹ × 19¹ × 107¹

Step-2: 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-3: Factors of 26429

List of positive integer factors of 26429 that divides 26429 without a remainder.

1, 13, 19, 107, 247, 1391, 2033

Step-4: Factors of 26442

List of positive integer factors of 26442 that divides 26429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26429 and 26442. The biggest common factor number is the GCF number.
So the greatest common factor 26429 and 26442 is 13.

Also check out the Least Common Multiple of 26429 and 26442