What is the Greatest Common Factor of 17520 and 17527?

Greatest common factor (GCF) of 17520 and 17527 is 1.

GCF(17520,17527) = 1

We will now calculate the prime factors of 17520 and 17527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17520 and 17527.

How to find the GCF of 17520 and 17527?

We will first find the prime factorization of 17520 and 17527. After we will calculate the factors of 17520 and 17527 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 17527

Prime factors of 17527 are 17, 1031. Prime factorization of 17527 in exponential form is:

17527 = 17¹ × 1031¹

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 17527

List of positive integer factors of 17527 that divides 17520 without a remainder.

1, 17, 1031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17520 and 17527. The biggest common factor number is the GCF number.
So the greatest common factor 17520 and 17527 is 1.

Also check out the Least Common Multiple of 17520 and 17527