What is the Greatest Common Factor of 26374 and 26390?

Greatest common factor (GCF) of 26374 and 26390 is 2.

GCF(26374,26390) = 2

We will now calculate the prime factors of 26374 and 26390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26374 and 26390.

How to find the GCF of 26374 and 26390?

We will first find the prime factorization of 26374 and 26390. After we will calculate the factors of 26374 and 26390 and find the biggest common factor number .

Step-1: Prime Factorization of 26374

Prime factors of 26374 are 2, 13187. Prime factorization of 26374 in exponential form is:

26374 = 2¹ × 13187¹

Step-2: Prime Factorization of 26390

Prime factors of 26390 are 2, 5, 7, 13, 29. Prime factorization of 26390 in exponential form is:

26390 = 2¹ × 5¹ × 7¹ × 13¹ × 29¹

Step-3: Factors of 26374

List of positive integer factors of 26374 that divides 26374 without a remainder.

1, 2, 13187

Step-4: Factors of 26390

List of positive integer factors of 26390 that divides 26374 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 29, 35, 58, 65, 70, 91, 130, 145, 182, 203, 290, 377, 406, 455, 754, 910, 1015, 1885, 2030, 2639, 3770, 5278, 13195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26374 and 26390. The biggest common factor number is the GCF number.
So the greatest common factor 26374 and 26390 is 2.

Also check out the Least Common Multiple of 26374 and 26390