What is the Greatest Common Factor of 17510 and 17520?

Greatest common factor (GCF) of 17510 and 17520 is 10.

GCF(17510,17520) = 10

We will now calculate the prime factors of 17510 and 17520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17510 and 17520.

How to find the GCF of 17510 and 17520?

We will first find the prime factorization of 17510 and 17520. After we will calculate the factors of 17510 and 17520 and find the biggest common factor number .

Step-1: Prime Factorization of 17510

Prime factors of 17510 are 2, 5, 17, 103. Prime factorization of 17510 in exponential form is:

17510 = 2¹ × 5¹ × 17¹ × 103¹

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 17510

List of positive integer factors of 17510 that divides 17510 without a remainder.

1, 2, 5, 10, 17, 34, 85, 103, 170, 206, 515, 1030, 1751, 3502, 8755

Step-4: Factors of 17520

List of positive integer factors of 17520 that divides 17510 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 17510 and 17520. The biggest common factor number is the GCF number.
So the greatest common factor 17510 and 17520 is 10.

Also check out the Least Common Multiple of 17510 and 17520