What is the Greatest Common Factor of 24514 and 24524?

Greatest common factor (GCF) of 24514 and 24524 is 2.

GCF(24514,24524) = 2

We will now calculate the prime factors of 24514 and 24524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24514 and 24524.

How to find the GCF of 24514 and 24524?

We will first find the prime factorization of 24514 and 24524. After we will calculate the factors of 24514 and 24524 and find the biggest common factor number .

Step-1: Prime Factorization of 24514

Prime factors of 24514 are 2, 7, 17, 103. Prime factorization of 24514 in exponential form is:

24514 = 2¹ × 7¹ × 17¹ × 103¹

Step-2: Prime Factorization of 24524

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

24524 = 2² × 6131¹

Step-3: Factors of 24514

List of positive integer factors of 24514 that divides 24514 without a remainder.

1, 2, 7, 14, 17, 34, 103, 119, 206, 238, 721, 1442, 1751, 3502, 12257

Step-4: Factors of 24524

List of positive integer factors of 24524 that divides 24514 without a remainder.

1, 2, 4, 6131, 12262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24514 and 24524. The biggest common factor number is the GCF number.
So the greatest common factor 24514 and 24524 is 2.

Also check out the Least Common Multiple of 24514 and 24524