What is the Greatest Common Factor of 60504 and 60523?

Greatest common factor (GCF) of 60504 and 60523 is 1.

GCF(60504,60523) = 1

We will now calculate the prime factors of 60504 and 60523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60504 and 60523.

How to find the GCF of 60504 and 60523?

We will first find the prime factorization of 60504 and 60523. After we will calculate the factors of 60504 and 60523 and find the biggest common factor number .

Step-1: Prime Factorization of 60504

Prime factors of 60504 are 2, 3, 2521. Prime factorization of 60504 in exponential form is:

60504 = 2³ × 3¹ × 2521¹

Step-2: Prime Factorization of 60523

Prime factors of 60523 are 29, 2087. Prime factorization of 60523 in exponential form is:

60523 = 29¹ × 2087¹

Step-3: Factors of 60504

List of positive integer factors of 60504 that divides 60504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2521, 5042, 7563, 10084, 15126, 20168, 30252

Step-4: Factors of 60523

List of positive integer factors of 60523 that divides 60504 without a remainder.

1, 29, 2087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60504 and 60523. The biggest common factor number is the GCF number.
So the greatest common factor 60504 and 60523 is 1.

Also check out the Least Common Multiple of 60504 and 60523