What is the Greatest Common Factor of 52142 and 52159?

Greatest common factor (GCF) of 52142 and 52159 is 1.

GCF(52142,52159) = 1

We will now calculate the prime factors of 52142 and 52159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52142 and 52159.

How to find the GCF of 52142 and 52159?

We will first find the prime factorization of 52142 and 52159. After we will calculate the factors of 52142 and 52159 and find the biggest common factor number .

Step-1: Prime Factorization of 52142

Prime factors of 52142 are 2, 29, 31. Prime factorization of 52142 in exponential form is:

52142 = 2¹ × 29² × 31¹

Step-2: Prime Factorization of 52159

Prime factors of 52159 are 43, 1213. Prime factorization of 52159 in exponential form is:

52159 = 43¹ × 1213¹

Step-3: Factors of 52142

List of positive integer factors of 52142 that divides 52142 without a remainder.

1, 2, 29, 31, 58, 62, 841, 899, 1682, 1798, 26071

Step-4: Factors of 52159

List of positive integer factors of 52159 that divides 52142 without a remainder.

1, 43, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52142 and 52159. The biggest common factor number is the GCF number.
So the greatest common factor 52142 and 52159 is 1.

Also check out the Least Common Multiple of 52142 and 52159