What is the Greatest Common Factor of 26560 and 26580?

Greatest common factor (GCF) of 26560 and 26580 is 20.

GCF(26560,26580) = 20

We will now calculate the prime factors of 26560 and 26580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26560 and 26580.

How to find the GCF of 26560 and 26580?

We will first find the prime factorization of 26560 and 26580. After we will calculate the factors of 26560 and 26580 and find the biggest common factor number .

Step-1: Prime Factorization of 26560

Prime factors of 26560 are 2, 5, 83. Prime factorization of 26560 in exponential form is:

26560 = 2⁶ × 5¹ × 83¹

Step-2: Prime Factorization of 26580

Prime factors of 26580 are 2, 3, 5, 443. Prime factorization of 26580 in exponential form is:

26580 = 2² × 3¹ × 5¹ × 443¹

Step-3: Factors of 26560

List of positive integer factors of 26560 that divides 26560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 83, 160, 166, 320, 332, 415, 664, 830, 1328, 1660, 2656, 3320, 5312, 6640, 13280

Step-4: Factors of 26580

List of positive integer factors of 26580 that divides 26560 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 443, 886, 1329, 1772, 2215, 2658, 4430, 5316, 6645, 8860, 13290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26560 and 26580. The biggest common factor number is the GCF number.
So the greatest common factor 26560 and 26580 is 20.

Also check out the Least Common Multiple of 26560 and 26580