What is the Greatest Common Factor of 24035 and 24054?

Greatest common factor (GCF) of 24035 and 24054 is 19.

GCF(24035,24054) = 19

We will now calculate the prime factors of 24035 and 24054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24035 and 24054.

How to find the GCF of 24035 and 24054?

We will first find the prime factorization of 24035 and 24054. After we will calculate the factors of 24035 and 24054 and find the biggest common factor number .

Step-1: Prime Factorization of 24035

Prime factors of 24035 are 5, 11, 19, 23. Prime factorization of 24035 in exponential form is:

24035 = 5¹ × 11¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 24035

List of positive integer factors of 24035 that divides 24035 without a remainder.

1, 5, 11, 19, 23, 55, 95, 115, 209, 253, 437, 1045, 1265, 2185, 4807

Step-4: Factors of 24054

List of positive integer factors of 24054 that divides 24035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24035 and 24054. The biggest common factor number is the GCF number.
So the greatest common factor 24035 and 24054 is 19.

Also check out the Least Common Multiple of 24035 and 24054