What is the Greatest Common Factor of 24524 and 24542?

Greatest common factor (GCF) of 24524 and 24542 is 2.

GCF(24524,24542) = 2

We will now calculate the prime factors of 24524 and 24542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24524 and 24542.

How to find the GCF of 24524 and 24542?

We will first find the prime factorization of 24524 and 24542. After we will calculate the factors of 24524 and 24542 and find the biggest common factor number .

Step-1: Prime Factorization of 24524

Prime factors of 24524 are 2, 6131. Prime factorization of 24524 in exponential form is:

24524 = 2² × 6131¹

Step-2: 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-3: Factors of 24524

List of positive integer factors of 24524 that divides 24524 without a remainder.

1, 2, 4, 6131, 12262

Step-4: Factors of 24542

List of positive integer factors of 24542 that divides 24524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24524 and 24542. The biggest common factor number is the GCF number.
So the greatest common factor 24524 and 24542 is 2.

Also check out the Least Common Multiple of 24524 and 24542