What is the Greatest Common Factor of 26540 and 26560?

Greatest common factor (GCF) of 26540 and 26560 is 20.

GCF(26540,26560) = 20

We will now calculate the prime factors of 26540 and 26560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26540 and 26560.

How to find the GCF of 26540 and 26560?

We will first find the prime factorization of 26540 and 26560. After we will calculate the factors of 26540 and 26560 and find the biggest common factor number .

Step-1: Prime Factorization of 26540

Prime factors of 26540 are 2, 5, 1327. Prime factorization of 26540 in exponential form is:

26540 = 2² × 5¹ × 1327¹

Step-2: 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-3: Factors of 26540

List of positive integer factors of 26540 that divides 26540 without a remainder.

1, 2, 4, 5, 10, 20, 1327, 2654, 5308, 6635, 13270

Step-4: Factors of 26560

List of positive integer factors of 26560 that divides 26540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26540 and 26560. The biggest common factor number is the GCF number.
So the greatest common factor 26540 and 26560 is 20.

Also check out the Least Common Multiple of 26540 and 26560