What is the Greatest Common Factor of 52138 and 52142?

Greatest common factor (GCF) of 52138 and 52142 is 2.

GCF(52138,52142) = 2

We will now calculate the prime factors of 52138 and 52142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52138 and 52142.

How to find the GCF of 52138 and 52142?

We will first find the prime factorization of 52138 and 52142. After we will calculate the factors of 52138 and 52142 and find the biggest common factor number .

Step-1: Prime Factorization of 52138

Prime factors of 52138 are 2, 131, 199. Prime factorization of 52138 in exponential form is:

52138 = 2¹ × 131¹ × 199¹

Step-2: 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-3: Factors of 52138

List of positive integer factors of 52138 that divides 52138 without a remainder.

1, 2, 131, 199, 262, 398, 26069

Step-4: Factors of 52142

List of positive integer factors of 52142 that divides 52138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52138 and 52142. The biggest common factor number is the GCF number.
So the greatest common factor 52138 and 52142 is 2.

Also check out the Least Common Multiple of 52138 and 52142