What is the Greatest Common Factor of 26398 and 26412?

Greatest common factor (GCF) of 26398 and 26412 is 2.

GCF(26398,26412) = 2

We will now calculate the prime factors of 26398 and 26412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26398 and 26412.

How to find the GCF of 26398 and 26412?

We will first find the prime factorization of 26398 and 26412. After we will calculate the factors of 26398 and 26412 and find the biggest common factor number .

Step-1: Prime Factorization of 26398

Prime factors of 26398 are 2, 67, 197. Prime factorization of 26398 in exponential form is:

26398 = 2¹ × 67¹ × 197¹

Step-2: Prime Factorization of 26412

Prime factors of 26412 are 2, 3, 31, 71. Prime factorization of 26412 in exponential form is:

26412 = 2² × 3¹ × 31¹ × 71¹

Step-3: Factors of 26398

List of positive integer factors of 26398 that divides 26398 without a remainder.

1, 2, 67, 134, 197, 394, 13199

Step-4: Factors of 26412

List of positive integer factors of 26412 that divides 26398 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 71, 93, 124, 142, 186, 213, 284, 372, 426, 852, 2201, 4402, 6603, 8804, 13206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26398 and 26412. The biggest common factor number is the GCF number.
So the greatest common factor 26398 and 26412 is 2.

Also check out the Least Common Multiple of 26398 and 26412