What is the Greatest Common Factor of 26410 and 26429?

Greatest common factor (GCF) of 26410 and 26429 is 19.

GCF(26410,26429) = 19

We will now calculate the prime factors of 26410 and 26429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26410 and 26429.

How to find the GCF of 26410 and 26429?

We will first find the prime factorization of 26410 and 26429. After we will calculate the factors of 26410 and 26429 and find the biggest common factor number .

Step-1: Prime Factorization of 26410

Prime factors of 26410 are 2, 5, 19, 139. Prime factorization of 26410 in exponential form is:

26410 = 2¹ × 5¹ × 19¹ × 139¹

Step-2: 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-3: Factors of 26410

List of positive integer factors of 26410 that divides 26410 without a remainder.

1, 2, 5, 10, 19, 38, 95, 139, 190, 278, 695, 1390, 2641, 5282, 13205

Step-4: Factors of 26429

List of positive integer factors of 26429 that divides 26410 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26410 and 26429. The biggest common factor number is the GCF number.
So the greatest common factor 26410 and 26429 is 19.

Also check out the Least Common Multiple of 26410 and 26429