What is the Greatest Common Factor of 26540 and 26555?

Greatest common factor (GCF) of 26540 and 26555 is 5.

GCF(26540,26555) = 5

We will now calculate the prime factors of 26540 and 26555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26540 and 26555.

How to find the GCF of 26540 and 26555?

We will first find the prime factorization of 26540 and 26555. After we will calculate the factors of 26540 and 26555 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 26555

Prime factors of 26555 are 5, 47, 113. Prime factorization of 26555 in exponential form is:

26555 = 5¹ × 47¹ × 113¹

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 26555

List of positive integer factors of 26555 that divides 26540 without a remainder.

1, 5, 47, 113, 235, 565, 5311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26540 and 26555. The biggest common factor number is the GCF number.
So the greatest common factor 26540 and 26555 is 5.

Also check out the Least Common Multiple of 26540 and 26555