What is the Greatest Common Factor of 24742 and 24757?

Greatest common factor (GCF) of 24742 and 24757 is 1.

GCF(24742,24757) = 1

We will now calculate the prime factors of 24742 and 24757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24742 and 24757.

How to find the GCF of 24742 and 24757?

We will first find the prime factorization of 24742 and 24757. After we will calculate the factors of 24742 and 24757 and find the biggest common factor number .

Step-1: Prime Factorization of 24742

Prime factors of 24742 are 2, 89, 139. Prime factorization of 24742 in exponential form is:

24742 = 2¹ × 89¹ × 139¹

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 24742

List of positive integer factors of 24742 that divides 24742 without a remainder.

1, 2, 89, 139, 178, 278, 12371

Step-4: Factors of 24757

List of positive integer factors of 24757 that divides 24742 without a remainder.

1, 19, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24742 and 24757. The biggest common factor number is the GCF number.
So the greatest common factor 24742 and 24757 is 1.

Also check out the Least Common Multiple of 24742 and 24757