What is the Greatest Common Factor of 24134 and 24145?

Greatest common factor (GCF) of 24134 and 24145 is 11.

GCF(24134,24145) = 11

We will now calculate the prime factors of 24134 and 24145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24134 and 24145.

How to find the GCF of 24134 and 24145?

We will first find the prime factorization of 24134 and 24145. After we will calculate the factors of 24134 and 24145 and find the biggest common factor number .

Step-1: Prime Factorization of 24134

Prime factors of 24134 are 2, 11, 1097. Prime factorization of 24134 in exponential form is:

24134 = 2¹ × 11¹ × 1097¹

Step-2: Prime Factorization of 24145

Prime factors of 24145 are 5, 11, 439. Prime factorization of 24145 in exponential form is:

24145 = 5¹ × 11¹ × 439¹

Step-3: Factors of 24134

List of positive integer factors of 24134 that divides 24134 without a remainder.

1, 2, 11, 22, 1097, 2194, 12067

Step-4: Factors of 24145

List of positive integer factors of 24145 that divides 24134 without a remainder.

1, 5, 11, 55, 439, 2195, 4829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24134 and 24145. The biggest common factor number is the GCF number.
So the greatest common factor 24134 and 24145 is 11.

Also check out the Least Common Multiple of 24134 and 24145