What is the Greatest Common Factor of 24154 and 24167?

Greatest common factor (GCF) of 24154 and 24167 is 13.

GCF(24154,24167) = 13

We will now calculate the prime factors of 24154 and 24167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24154 and 24167.

How to find the GCF of 24154 and 24167?

We will first find the prime factorization of 24154 and 24167. After we will calculate the factors of 24154 and 24167 and find the biggest common factor number .

Step-1: Prime Factorization of 24154

Prime factors of 24154 are 2, 13, 929. Prime factorization of 24154 in exponential form is:

24154 = 2¹ × 13¹ × 929¹

Step-2: Prime Factorization of 24167

Prime factors of 24167 are 11, 13. Prime factorization of 24167 in exponential form is:

24167 = 11¹ × 13³

Step-3: Factors of 24154

List of positive integer factors of 24154 that divides 24154 without a remainder.

1, 2, 13, 26, 929, 1858, 12077

Step-4: Factors of 24167

List of positive integer factors of 24167 that divides 24154 without a remainder.

1, 11, 13, 143, 169, 1859, 2197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24154 and 24167. The biggest common factor number is the GCF number.
So the greatest common factor 24154 and 24167 is 13.

Also check out the Least Common Multiple of 24154 and 24167