What is the Greatest Common Factor of 26871 and 26877?

Greatest common factor (GCF) of 26871 and 26877 is 3.

GCF(26871,26877) = 3

We will now calculate the prime factors of 26871 and 26877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26871 and 26877.

How to find the GCF of 26871 and 26877?

We will first find the prime factorization of 26871 and 26877. After we will calculate the factors of 26871 and 26877 and find the biggest common factor number .

Step-1: Prime Factorization of 26871

Prime factors of 26871 are 3, 13, 53. Prime factorization of 26871 in exponential form is:

26871 = 3¹ × 13² × 53¹

Step-2: Prime Factorization of 26877

Prime factors of 26877 are 3, 17, 31. Prime factorization of 26877 in exponential form is:

26877 = 3¹ × 17² × 31¹

Step-3: Factors of 26871

List of positive integer factors of 26871 that divides 26871 without a remainder.

1, 3, 13, 39, 53, 159, 169, 507, 689, 2067, 8957

Step-4: Factors of 26877

List of positive integer factors of 26877 that divides 26871 without a remainder.

1, 3, 17, 31, 51, 93, 289, 527, 867, 1581, 8959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26871 and 26877. The biggest common factor number is the GCF number.
So the greatest common factor 26871 and 26877 is 3.

Also check out the Least Common Multiple of 26871 and 26877