What is the Greatest Common Factor of 52871 and 52879?

Greatest common factor (GCF) of 52871 and 52879 is 1.

GCF(52871,52879) = 1

We will now calculate the prime factors of 52871 and 52879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52871 and 52879.

How to find the GCF of 52871 and 52879?

We will first find the prime factorization of 52871 and 52879. After we will calculate the factors of 52871 and 52879 and find the biggest common factor number .

Step-1: Prime Factorization of 52871

Prime factors of 52871 are 7, 13, 83. Prime factorization of 52871 in exponential form is:

52871 = 7² × 13¹ × 83¹

Step-2: Prime Factorization of 52879

Prime factors of 52879 are 52879. Prime factorization of 52879 in exponential form is:

52879 = 52879¹

Step-3: Factors of 52871

List of positive integer factors of 52871 that divides 52871 without a remainder.

1, 7, 13, 49, 83, 91, 581, 637, 1079, 4067, 7553

Step-4: Factors of 52879

List of positive integer factors of 52879 that divides 52871 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52871 and 52879. The biggest common factor number is the GCF number.
So the greatest common factor 52871 and 52879 is 1.

Also check out the Least Common Multiple of 52871 and 52879