What is the Greatest Common Factor of 26320 and 26335?

Greatest common factor (GCF) of 26320 and 26335 is 5.

GCF(26320,26335) = 5

We will now calculate the prime factors of 26320 and 26335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26320 and 26335.

How to find the GCF of 26320 and 26335?

We will first find the prime factorization of 26320 and 26335. After we will calculate the factors of 26320 and 26335 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 26335

Prime factors of 26335 are 5, 23, 229. Prime factorization of 26335 in exponential form is:

26335 = 5¹ × 23¹ × 229¹

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 26335

List of positive integer factors of 26335 that divides 26320 without a remainder.

1, 5, 23, 115, 229, 1145, 5267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26320 and 26335. The biggest common factor number is the GCF number.
So the greatest common factor 26320 and 26335 is 5.

Also check out the Least Common Multiple of 26320 and 26335