What is the Greatest Common Factor of 24145 and 24160?

Greatest common factor (GCF) of 24145 and 24160 is 5.

GCF(24145,24160) = 5

We will now calculate the prime factors of 24145 and 24160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24145 and 24160.

How to find the GCF of 24145 and 24160?

We will first find the prime factorization of 24145 and 24160. After we will calculate the factors of 24145 and 24160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24160

Prime factors of 24160 are 2, 5, 151. Prime factorization of 24160 in exponential form is:

24160 = 2⁵ × 5¹ × 151¹

Step-3: Factors of 24145

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

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

Step-4: Factors of 24160

List of positive integer factors of 24160 that divides 24145 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 151, 160, 302, 604, 755, 1208, 1510, 2416, 3020, 4832, 6040, 12080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24145 and 24160. The biggest common factor number is the GCF number.
So the greatest common factor 24145 and 24160 is 5.

Also check out the Least Common Multiple of 24145 and 24160