What is the Greatest Common Factor of 26327 and 26334?

Greatest common factor (GCF) of 26327 and 26334 is 7.

GCF(26327,26334) = 7

We will now calculate the prime factors of 26327 and 26334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26327 and 26334.

How to find the GCF of 26327 and 26334?

We will first find the prime factorization of 26327 and 26334. After we will calculate the factors of 26327 and 26334 and find the biggest common factor number .

Step-1: Prime Factorization of 26327

Prime factors of 26327 are 7, 3761. Prime factorization of 26327 in exponential form is:

26327 = 7¹ × 3761¹

Step-2: Prime Factorization of 26334

Prime factors of 26334 are 2, 3, 7, 11, 19. Prime factorization of 26334 in exponential form is:

26334 = 2¹ × 3² × 7¹ × 11¹ × 19¹

Step-3: Factors of 26327

List of positive integer factors of 26327 that divides 26327 without a remainder.

1, 7, 3761

Step-4: Factors of 26334

List of positive integer factors of 26334 that divides 26327 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 19, 21, 22, 33, 38, 42, 57, 63, 66, 77, 99, 114, 126, 133, 154, 171, 198, 209, 231, 266, 342, 399, 418, 462, 627, 693, 798, 1197, 1254, 1386, 1463, 1881, 2394, 2926, 3762, 4389, 8778, 13167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26327 and 26334. The biggest common factor number is the GCF number.
So the greatest common factor 26327 and 26334 is 7.

Also check out the Least Common Multiple of 26327 and 26334