What is the Greatest Common Factor of 26871 and 26884?

Greatest common factor (GCF) of 26871 and 26884 is 13.

GCF(26871,26884) = 13

We will now calculate the prime factors of 26871 and 26884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26871 and 26884.

How to find the GCF of 26871 and 26884?

We will first find the prime factorization of 26871 and 26884. After we will calculate the factors of 26871 and 26884 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 26884

Prime factors of 26884 are 2, 11, 13, 47. Prime factorization of 26884 in exponential form is:

26884 = 2² × 11¹ × 13¹ × 47¹

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 26884

List of positive integer factors of 26884 that divides 26871 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 47, 52, 94, 143, 188, 286, 517, 572, 611, 1034, 1222, 2068, 2444, 6721, 13442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26871 and 26884. The biggest common factor number is the GCF number.
So the greatest common factor 26871 and 26884 is 13.

Also check out the Least Common Multiple of 26871 and 26884