What is the Greatest Common Factor of 24745 and 24757?

Greatest common factor (GCF) of 24745 and 24757 is 1.

GCF(24745,24757) = 1

We will now calculate the prime factors of 24745 and 24757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24745 and 24757.

How to find the GCF of 24745 and 24757?

We will first find the prime factorization of 24745 and 24757. After we will calculate the factors of 24745 and 24757 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24757

Prime factors of 24757 are 19, 1303. Prime factorization of 24757 in exponential form is:

24757 = 19¹ × 1303¹

Step-3: Factors of 24745

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

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

Step-4: Factors of 24757

List of positive integer factors of 24757 that divides 24745 without a remainder.

1, 19, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24745 and 24757. The biggest common factor number is the GCF number.
So the greatest common factor 24745 and 24757 is 1.

Also check out the Least Common Multiple of 24745 and 24757