What is the Greatest Common Factor of 24130 and 24142?

Greatest common factor (GCF) of 24130 and 24142 is 2.

GCF(24130,24142) = 2

We will now calculate the prime factors of 24130 and 24142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24130 and 24142.

How to find the GCF of 24130 and 24142?

We will first find the prime factorization of 24130 and 24142. After we will calculate the factors of 24130 and 24142 and find the biggest common factor number .

Step-1: Prime Factorization of 24130

Prime factors of 24130 are 2, 5, 19, 127. Prime factorization of 24130 in exponential form is:

24130 = 2¹ × 5¹ × 19¹ × 127¹

Step-2: Prime Factorization of 24142

Prime factors of 24142 are 2, 12071. Prime factorization of 24142 in exponential form is:

24142 = 2¹ × 12071¹

Step-3: Factors of 24130

List of positive integer factors of 24130 that divides 24130 without a remainder.

1, 2, 5, 10, 19, 38, 95, 127, 190, 254, 635, 1270, 2413, 4826, 12065

Step-4: Factors of 24142

List of positive integer factors of 24142 that divides 24130 without a remainder.

1, 2, 12071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24130 and 24142. The biggest common factor number is the GCF number.
So the greatest common factor 24130 and 24142 is 2.

Also check out the Least Common Multiple of 24130 and 24142