What is the Greatest Common Factor of 17506 and 17520?

Greatest common factor (GCF) of 17506 and 17520 is 2.

GCF(17506,17520) = 2

We will now calculate the prime factors of 17506 and 17520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17506 and 17520.

How to find the GCF of 17506 and 17520?

We will first find the prime factorization of 17506 and 17520. After we will calculate the factors of 17506 and 17520 and find the biggest common factor number .

Step-1: Prime Factorization of 17506

Prime factors of 17506 are 2, 8753. Prime factorization of 17506 in exponential form is:

17506 = 2¹ × 8753¹

Step-2: 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-3: Factors of 17506

List of positive integer factors of 17506 that divides 17506 without a remainder.

1, 2, 8753

Step-4: Factors of 17520

List of positive integer factors of 17520 that divides 17506 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17506 and 17520. The biggest common factor number is the GCF number.
So the greatest common factor 17506 and 17520 is 2.

Also check out the Least Common Multiple of 17506 and 17520