What is the Greatest Common Factor of 24738 and 24754?

Greatest common factor (GCF) of 24738 and 24754 is 2.

GCF(24738,24754) = 2

We will now calculate the prime factors of 24738 and 24754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24738 and 24754.

How to find the GCF of 24738 and 24754?

We will first find the prime factorization of 24738 and 24754. After we will calculate the factors of 24738 and 24754 and find the biggest common factor number .

Step-1: Prime Factorization of 24738

Prime factors of 24738 are 2, 3, 7, 19, 31. Prime factorization of 24738 in exponential form is:

24738 = 2¹ × 3¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 24754

Prime factors of 24754 are 2, 12377. Prime factorization of 24754 in exponential form is:

24754 = 2¹ × 12377¹

Step-3: Factors of 24738

List of positive integer factors of 24738 that divides 24738 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 31, 38, 42, 57, 62, 93, 114, 133, 186, 217, 266, 399, 434, 589, 651, 798, 1178, 1302, 1767, 3534, 4123, 8246, 12369

Step-4: Factors of 24754

List of positive integer factors of 24754 that divides 24738 without a remainder.

1, 2, 12377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24738 and 24754. The biggest common factor number is the GCF number.
So the greatest common factor 24738 and 24754 is 2.

Also check out the Least Common Multiple of 24738 and 24754