What is the Greatest Common Factor of 52142 and 52153?

Greatest common factor (GCF) of 52142 and 52153 is 1.

GCF(52142,52153) = 1

We will now calculate the prime factors of 52142 and 52153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52142 and 52153.

How to find the GCF of 52142 and 52153?

We will first find the prime factorization of 52142 and 52153. After we will calculate the factors of 52142 and 52153 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 52153

Prime factors of 52153 are 52153. Prime factorization of 52153 in exponential form is:

52153 = 52153¹

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 52153

List of positive integer factors of 52153 that divides 52142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52142 and 52153. The biggest common factor number is the GCF number.
So the greatest common factor 52142 and 52153 is 1.

Also check out the Least Common Multiple of 52142 and 52153