What is the Greatest Common Factor of 24731 and 24745?

Greatest common factor (GCF) of 24731 and 24745 is 7.

GCF(24731,24745) = 7

We will now calculate the prime factors of 24731 and 24745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24731 and 24745.

How to find the GCF of 24731 and 24745?

We will first find the prime factorization of 24731 and 24745. After we will calculate the factors of 24731 and 24745 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 24745

Prime factors of 24745 are 5, 7, 101. Prime factorization of 24745 in exponential form is:

24745 = 5¹ × 7² × 101¹

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 24745

List of positive integer factors of 24745 that divides 24731 without a remainder.

1, 5, 7, 35, 49, 101, 245, 505, 707, 3535, 4949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24731 and 24745. The biggest common factor number is the GCF number.
So the greatest common factor 24731 and 24745 is 7.

Also check out the Least Common Multiple of 24731 and 24745