What is the Greatest Common Factor of 24522 and 24542?

Greatest common factor (GCF) of 24522 and 24542 is 2.

GCF(24522,24542) = 2

We will now calculate the prime factors of 24522 and 24542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24522 and 24542.

How to find the GCF of 24522 and 24542?

We will first find the prime factorization of 24522 and 24542. After we will calculate the factors of 24522 and 24542 and find the biggest common factor number .

Step-1: Prime Factorization of 24522

Prime factors of 24522 are 2, 3, 61, 67. Prime factorization of 24522 in exponential form is:

24522 = 2¹ × 3¹ × 61¹ × 67¹

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 24522

List of positive integer factors of 24522 that divides 24522 without a remainder.

1, 2, 3, 6, 61, 67, 122, 134, 183, 201, 366, 402, 4087, 8174, 12261

Step-4: Factors of 24542

List of positive integer factors of 24542 that divides 24522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24522 and 24542. The biggest common factor number is the GCF number.
So the greatest common factor 24522 and 24542 is 2.

Also check out the Least Common Multiple of 24522 and 24542