What is the Greatest Common Factor of 24542 and 24561?

Greatest common factor (GCF) of 24542 and 24561 is 1.

GCF(24542,24561) = 1

We will now calculate the prime factors of 24542 and 24561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24542 and 24561.

How to find the GCF of 24542 and 24561?

We will first find the prime factorization of 24542 and 24561. After we will calculate the factors of 24542 and 24561 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 24561

Prime factors of 24561 are 3, 2729. Prime factorization of 24561 in exponential form is:

24561 = 3² × 2729¹

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 24561

List of positive integer factors of 24561 that divides 24542 without a remainder.

1, 3, 9, 2729, 8187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24542 and 24561. The biggest common factor number is the GCF number.
So the greatest common factor 24542 and 24561 is 1.

Also check out the Least Common Multiple of 24542 and 24561