What is the Greatest Common Factor of 24142 and 24158?

Greatest common factor (GCF) of 24142 and 24158 is 2.

GCF(24142,24158) = 2

We will now calculate the prime factors of 24142 and 24158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24142 and 24158.

How to find the GCF of 24142 and 24158?

We will first find the prime factorization of 24142 and 24158. After we will calculate the factors of 24142 and 24158 and find the biggest common factor number .

Step-1: Prime Factorization of 24142

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

24142 = 2¹ × 12071¹

Step-2: Prime Factorization of 24158

Prime factors of 24158 are 2, 47, 257. Prime factorization of 24158 in exponential form is:

24158 = 2¹ × 47¹ × 257¹

Step-3: Factors of 24142

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

1, 2, 12071

Step-4: Factors of 24158

List of positive integer factors of 24158 that divides 24142 without a remainder.

1, 2, 47, 94, 257, 514, 12079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24142 and 24158. The biggest common factor number is the GCF number.
So the greatest common factor 24142 and 24158 is 2.

Also check out the Least Common Multiple of 24142 and 24158