What is the Greatest Common Factor of 24731 and 24738?

Greatest common factor (GCF) of 24731 and 24738 is 7.

GCF(24731,24738) = 7

We will now calculate the prime factors of 24731 and 24738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24731 and 24738.

How to find the GCF of 24731 and 24738?

We will first find the prime factorization of 24731 and 24738. After we will calculate the factors of 24731 and 24738 and find the biggest common factor number .

Step-1: Prime Factorization of 24731

Prime factors of 24731 are 7, 3533. Prime factorization of 24731 in exponential form is:

24731 = 7¹ × 3533¹

Step-2: 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-3: Factors of 24731

List of positive integer factors of 24731 that divides 24731 without a remainder.

1, 7, 3533

Step-4: Factors of 24738

List of positive integer factors of 24738 that divides 24731 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24731 and 24738. The biggest common factor number is the GCF number.
So the greatest common factor 24731 and 24738 is 7.

Also check out the Least Common Multiple of 24731 and 24738