What is the Greatest Common Factor of 24514 and 24523?

Greatest common factor (GCF) of 24514 and 24523 is 1.

GCF(24514,24523) = 1

We will now calculate the prime factors of 24514 and 24523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24514 and 24523.

How to find the GCF of 24514 and 24523?

We will first find the prime factorization of 24514 and 24523. After we will calculate the factors of 24514 and 24523 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 24523

Prime factors of 24523 are 137, 179. Prime factorization of 24523 in exponential form is:

24523 = 137¹ × 179¹

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 24523

List of positive integer factors of 24523 that divides 24514 without a remainder.

1, 137, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24514 and 24523. The biggest common factor number is the GCF number.
So the greatest common factor 24514 and 24523 is 1.

Also check out the Least Common Multiple of 24514 and 24523