What is the Greatest Common Factor of 52853 and 52871?

Greatest common factor (GCF) of 52853 and 52871 is 1.

GCF(52853,52871) = 1

We will now calculate the prime factors of 52853 and 52871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52853 and 52871.

How to find the GCF of 52853 and 52871?

We will first find the prime factorization of 52853 and 52871. After we will calculate the factors of 52853 and 52871 and find the biggest common factor number .

Step-1: Prime Factorization of 52853

Prime factors of 52853 are 17, 3109. Prime factorization of 52853 in exponential form is:

52853 = 17¹ × 3109¹

Step-2: 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-3: Factors of 52853

List of positive integer factors of 52853 that divides 52853 without a remainder.

1, 17, 3109

Step-4: Factors of 52871

List of positive integer factors of 52871 that divides 52853 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52853 and 52871. The biggest common factor number is the GCF number.
So the greatest common factor 52853 and 52871 is 1.

Also check out the Least Common Multiple of 52853 and 52871