What is the Greatest Common Factor of 24523 and 24540?

Greatest common factor (GCF) of 24523 and 24540 is 1.

GCF(24523,24540) = 1

We will now calculate the prime factors of 24523 and 24540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24523 and 24540.

How to find the GCF of 24523 and 24540?

We will first find the prime factorization of 24523 and 24540. After we will calculate the factors of 24523 and 24540 and find the biggest common factor number .

Step-1: Prime Factorization of 24523

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

24523 = 137¹ × 179¹

Step-2: Prime Factorization of 24540

Prime factors of 24540 are 2, 3, 5, 409. Prime factorization of 24540 in exponential form is:

24540 = 2² × 3¹ × 5¹ × 409¹

Step-3: Factors of 24523

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

1, 137, 179

Step-4: Factors of 24540

List of positive integer factors of 24540 that divides 24523 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 409, 818, 1227, 1636, 2045, 2454, 4090, 4908, 6135, 8180, 12270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24523 and 24540. The biggest common factor number is the GCF number.
So the greatest common factor 24523 and 24540 is 1.

Also check out the Least Common Multiple of 24523 and 24540