What is the Greatest Common Factor of 52858 and 52871?

Greatest common factor (GCF) of 52858 and 52871 is 13.

GCF(52858,52871) = 13

We will now calculate the prime factors of 52858 and 52871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52858 and 52871.

How to find the GCF of 52858 and 52871?

We will first find the prime factorization of 52858 and 52871. After we will calculate the factors of 52858 and 52871 and find the biggest common factor number .

Step-1: Prime Factorization of 52858

Prime factors of 52858 are 2, 13, 19, 107. Prime factorization of 52858 in exponential form is:

52858 = 2¹ × 13¹ × 19¹ × 107¹

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 52858

List of positive integer factors of 52858 that divides 52858 without a remainder.

1, 2, 13, 19, 26, 38, 107, 214, 247, 494, 1391, 2033, 2782, 4066, 26429

Step-4: Factors of 52871

List of positive integer factors of 52871 that divides 52858 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 52858 and 52871. The biggest common factor number is the GCF number.
So the greatest common factor 52858 and 52871 is 13.

Also check out the Least Common Multiple of 52858 and 52871