What is the Greatest Common Factor of 52142 and 52150?

Greatest common factor (GCF) of 52142 and 52150 is 2.

GCF(52142,52150) = 2

We will now calculate the prime factors of 52142 and 52150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52142 and 52150.

How to find the GCF of 52142 and 52150?

We will first find the prime factorization of 52142 and 52150. After we will calculate the factors of 52142 and 52150 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 52150

Prime factors of 52150 are 2, 5, 7, 149. Prime factorization of 52150 in exponential form is:

52150 = 2¹ × 5² × 7¹ × 149¹

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 52150

List of positive integer factors of 52150 that divides 52142 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 149, 175, 298, 350, 745, 1043, 1490, 2086, 3725, 5215, 7450, 10430, 26075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52142 and 52150. The biggest common factor number is the GCF number.
So the greatest common factor 52142 and 52150 is 2.

Also check out the Least Common Multiple of 52142 and 52150