What is the Greatest Common Factor of 26320 and 26334?

Greatest common factor (GCF) of 26320 and 26334 is 14.

GCF(26320,26334) = 14

We will now calculate the prime factors of 26320 and 26334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26320 and 26334.

How to find the GCF of 26320 and 26334?

We will first find the prime factorization of 26320 and 26334. After we will calculate the factors of 26320 and 26334 and find the biggest common factor number .

Step-1: Prime Factorization of 26320

Prime factors of 26320 are 2, 5, 7, 47. Prime factorization of 26320 in exponential form is:

26320 = 2⁴ × 5¹ × 7¹ × 47¹

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 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160

Step-4: Factors of 26334

List of positive integer factors of 26334 that divides 26320 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 26320 and 26334. The biggest common factor number is the GCF number.
So the greatest common factor 26320 and 26334 is 14.

Also check out the Least Common Multiple of 26320 and 26334