What is the Greatest Common Factor of 24742 and 24760?

Greatest common factor (GCF) of 24742 and 24760 is 2.

GCF(24742,24760) = 2

We will now calculate the prime factors of 24742 and 24760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24742 and 24760.

How to find the GCF of 24742 and 24760?

We will first find the prime factorization of 24742 and 24760. After we will calculate the factors of 24742 and 24760 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 24760

Prime factors of 24760 are 2, 5, 619. Prime factorization of 24760 in exponential form is:

24760 = 2³ × 5¹ × 619¹

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 24760

List of positive integer factors of 24760 that divides 24742 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 619, 1238, 2476, 3095, 4952, 6190, 12380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24742 and 24760. The biggest common factor number is the GCF number.
So the greatest common factor 24742 and 24760 is 2.

Also check out the Least Common Multiple of 24742 and 24760