What is the Greatest Common Factor of 24542 and 24556?

Greatest common factor (GCF) of 24542 and 24556 is 14.

GCF(24542,24556) = 14

We will now calculate the prime factors of 24542 and 24556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24542 and 24556.

How to find the GCF of 24542 and 24556?

We will first find the prime factorization of 24542 and 24556. After we will calculate the factors of 24542 and 24556 and find the biggest common factor number .

Step-1: Prime Factorization of 24542

Prime factors of 24542 are 2, 7, 1753. Prime factorization of 24542 in exponential form is:

24542 = 2¹ × 7¹ × 1753¹

Step-2: Prime Factorization of 24556

Prime factors of 24556 are 2, 7, 877. Prime factorization of 24556 in exponential form is:

24556 = 2² × 7¹ × 877¹

Step-3: Factors of 24542

List of positive integer factors of 24542 that divides 24542 without a remainder.

1, 2, 7, 14, 1753, 3506, 12271

Step-4: Factors of 24556

List of positive integer factors of 24556 that divides 24542 without a remainder.

1, 2, 4, 7, 14, 28, 877, 1754, 3508, 6139, 12278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24542 and 24556. The biggest common factor number is the GCF number.
So the greatest common factor 24542 and 24556 is 14.

Also check out the Least Common Multiple of 24542 and 24556