What is the Greatest Common Factor of 24054 and 24060?

Greatest common factor (GCF) of 24054 and 24060 is 6.

GCF(24054,24060) = 6

We will now calculate the prime factors of 24054 and 24060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24054 and 24060.

How to find the GCF of 24054 and 24060?

We will first find the prime factorization of 24054 and 24060. After we will calculate the factors of 24054 and 24060 and find the biggest common factor number .

Step-1: Prime Factorization of 24054

Prime factors of 24054 are 2, 3, 19, 211. Prime factorization of 24054 in exponential form is:

24054 = 2¹ × 3¹ × 19¹ × 211¹

Step-2: Prime Factorization of 24060

Prime factors of 24060 are 2, 3, 5, 401. Prime factorization of 24060 in exponential form is:

24060 = 2² × 3¹ × 5¹ × 401¹

Step-3: Factors of 24054

List of positive integer factors of 24054 that divides 24054 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 211, 422, 633, 1266, 4009, 8018, 12027

Step-4: Factors of 24060

List of positive integer factors of 24060 that divides 24054 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 401, 802, 1203, 1604, 2005, 2406, 4010, 4812, 6015, 8020, 12030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24054 and 24060. The biggest common factor number is the GCF number.
So the greatest common factor 24054 and 24060 is 6.

Also check out the Least Common Multiple of 24054 and 24060