What is the Greatest Common Factor of 26316 and 26324?

Greatest common factor (GCF) of 26316 and 26324 is 4.

GCF(26316,26324) = 4

We will now calculate the prime factors of 26316 and 26324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26316 and 26324.

How to find the GCF of 26316 and 26324?

We will first find the prime factorization of 26316 and 26324. After we will calculate the factors of 26316 and 26324 and find the biggest common factor number .

Step-1: Prime Factorization of 26316

Prime factors of 26316 are 2, 3, 17, 43. Prime factorization of 26316 in exponential form is:

26316 = 2² × 3² × 17¹ × 43¹

Step-2: Prime Factorization of 26324

Prime factors of 26324 are 2, 6581. Prime factorization of 26324 in exponential form is:

26324 = 2² × 6581¹

Step-3: Factors of 26316

List of positive integer factors of 26316 that divides 26316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158

Step-4: Factors of 26324

List of positive integer factors of 26324 that divides 26316 without a remainder.

1, 2, 4, 6581, 13162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26316 and 26324. The biggest common factor number is the GCF number.
So the greatest common factor 26316 and 26324 is 4.

Also check out the Least Common Multiple of 26316 and 26324