What is the Greatest Common Factor of 24542 and 24549?

Greatest common factor (GCF) of 24542 and 24549 is 7.

GCF(24542,24549) = 7

We will now calculate the prime factors of 24542 and 24549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24542 and 24549.

How to find the GCF of 24542 and 24549?

We will first find the prime factorization of 24542 and 24549. After we will calculate the factors of 24542 and 24549 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 24549

Prime factors of 24549 are 3, 7, 167. Prime factorization of 24549 in exponential form is:

24549 = 3¹ × 7² × 167¹

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 24549

List of positive integer factors of 24549 that divides 24542 without a remainder.

1, 3, 7, 21, 49, 147, 167, 501, 1169, 3507, 8183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24542 and 24549. The biggest common factor number is the GCF number.
So the greatest common factor 24542 and 24549 is 7.

Also check out the Least Common Multiple of 24542 and 24549