What is the Greatest Common Factor of 26374 and 26388?

Greatest common factor (GCF) of 26374 and 26388 is 2.

GCF(26374,26388) = 2

We will now calculate the prime factors of 26374 and 26388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26374 and 26388.

How to find the GCF of 26374 and 26388?

We will first find the prime factorization of 26374 and 26388. After we will calculate the factors of 26374 and 26388 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 26388

Prime factors of 26388 are 2, 3, 733. Prime factorization of 26388 in exponential form is:

26388 = 2² × 3² × 733¹

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 26388

List of positive integer factors of 26388 that divides 26374 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 733, 1466, 2199, 2932, 4398, 6597, 8796, 13194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26374 and 26388. The biggest common factor number is the GCF number.
So the greatest common factor 26374 and 26388 is 2.

Also check out the Least Common Multiple of 26374 and 26388