What is the Greatest Common Factor of 26240 and 26256?

Greatest common factor (GCF) of 26240 and 26256 is 16.

GCF(26240,26256) = 16

We will now calculate the prime factors of 26240 and 26256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26240 and 26256.

How to find the GCF of 26240 and 26256?

We will first find the prime factorization of 26240 and 26256. After we will calculate the factors of 26240 and 26256 and find the biggest common factor number .

Step-1: Prime Factorization of 26240

Prime factors of 26240 are 2, 5, 41. Prime factorization of 26240 in exponential form is:

26240 = 2⁷ × 5¹ × 41¹

Step-2: Prime Factorization of 26256

Prime factors of 26256 are 2, 3, 547. Prime factorization of 26256 in exponential form is:

26256 = 2⁴ × 3¹ × 547¹

Step-3: Factors of 26240

List of positive integer factors of 26240 that divides 26240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 160, 164, 205, 320, 328, 410, 640, 656, 820, 1312, 1640, 2624, 3280, 5248, 6560, 13120

Step-4: Factors of 26256

List of positive integer factors of 26256 that divides 26240 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 547, 1094, 1641, 2188, 3282, 4376, 6564, 8752, 13128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26240 and 26256. The biggest common factor number is the GCF number.
So the greatest common factor 26240 and 26256 is 16.

Also check out the Least Common Multiple of 26240 and 26256