What is the Greatest Common Factor of 24148 and 24157?

Greatest common factor (GCF) of 24148 and 24157 is 1.

GCF(24148,24157) = 1

We will now calculate the prime factors of 24148 and 24157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24148 and 24157.

How to find the GCF of 24148 and 24157?

We will first find the prime factorization of 24148 and 24157. After we will calculate the factors of 24148 and 24157 and find the biggest common factor number .

Step-1: Prime Factorization of 24148

Prime factors of 24148 are 2, 6037. Prime factorization of 24148 in exponential form is:

24148 = 2² × 6037¹

Step-2: Prime Factorization of 24157

Prime factors of 24157 are 7, 17, 29. Prime factorization of 24157 in exponential form is:

24157 = 7² × 17¹ × 29¹

Step-3: Factors of 24148

List of positive integer factors of 24148 that divides 24148 without a remainder.

1, 2, 4, 6037, 12074

Step-4: Factors of 24157

List of positive integer factors of 24157 that divides 24148 without a remainder.

1, 7, 17, 29, 49, 119, 203, 493, 833, 1421, 3451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24148 and 24157. The biggest common factor number is the GCF number.
So the greatest common factor 24148 and 24157 is 1.

Also check out the Least Common Multiple of 24148 and 24157