What is the Greatest Common Factor of 17520 and 17531?

Greatest common factor (GCF) of 17520 and 17531 is 1.

GCF(17520,17531) = 1

We will now calculate the prime factors of 17520 and 17531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17520 and 17531.

How to find the GCF of 17520 and 17531?

We will first find the prime factorization of 17520 and 17531. After we will calculate the factors of 17520 and 17531 and find the biggest common factor number .

Step-1: Prime Factorization of 17520

Prime factors of 17520 are 2, 3, 5, 73. Prime factorization of 17520 in exponential form is:

17520 = 2⁴ × 3¹ × 5¹ × 73¹

Step-2: Prime Factorization of 17531

Prime factors of 17531 are 47, 373. Prime factorization of 17531 in exponential form is:

17531 = 47¹ × 373¹

Step-3: Factors of 17520

List of positive integer factors of 17520 that divides 17520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 73, 80, 120, 146, 219, 240, 292, 365, 438, 584, 730, 876, 1095, 1168, 1460, 1752, 2190, 2920, 3504, 4380, 5840, 8760

Step-4: Factors of 17531

List of positive integer factors of 17531 that divides 17520 without a remainder.

1, 47, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17520 and 17531. The biggest common factor number is the GCF number.
So the greatest common factor 17520 and 17531 is 1.

Also check out the Least Common Multiple of 17520 and 17531