What is the Greatest Common Factor of 26334 and 26353?

Greatest common factor (GCF) of 26334 and 26353 is 19.

GCF(26334,26353) = 19

We will now calculate the prime factors of 26334 and 26353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26334 and 26353.

How to find the GCF of 26334 and 26353?

We will first find the prime factorization of 26334 and 26353. After we will calculate the factors of 26334 and 26353 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26353

Prime factors of 26353 are 19, 73. Prime factorization of 26353 in exponential form is:

26353 = 19² × 73¹

Step-3: Factors of 26334

List of positive integer factors of 26334 that divides 26334 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

Step-4: Factors of 26353

List of positive integer factors of 26353 that divides 26334 without a remainder.

1, 19, 73, 361, 1387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26334 and 26353. The biggest common factor number is the GCF number.
So the greatest common factor 26334 and 26353 is 19.

Also check out the Least Common Multiple of 26334 and 26353