What is the Greatest Common Factor of 24745 and 24763?

Greatest common factor (GCF) of 24745 and 24763 is 1.

GCF(24745,24763) = 1

We will now calculate the prime factors of 24745 and 24763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24745 and 24763.

How to find the GCF of 24745 and 24763?

We will first find the prime factorization of 24745 and 24763. After we will calculate the factors of 24745 and 24763 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 24763

Prime factors of 24763 are 24763. Prime factorization of 24763 in exponential form is:

24763 = 24763¹

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 24763

List of positive integer factors of 24763 that divides 24745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24745 and 24763. The biggest common factor number is the GCF number.
So the greatest common factor 24745 and 24763 is 1.

Also check out the Least Common Multiple of 24745 and 24763