What is the Greatest Common Factor of 17430 and 17445?

Greatest common factor (GCF) of 17430 and 17445 is 15.

GCF(17430,17445) = 15

We will now calculate the prime factors of 17430 and 17445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17430 and 17445.

How to find the GCF of 17430 and 17445?

We will first find the prime factorization of 17430 and 17445. After we will calculate the factors of 17430 and 17445 and find the biggest common factor number .

Step-1: Prime Factorization of 17430

Prime factors of 17430 are 2, 3, 5, 7, 83. Prime factorization of 17430 in exponential form is:

17430 = 2¹ × 3¹ × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 17445

Prime factors of 17445 are 3, 5, 1163. Prime factorization of 17445 in exponential form is:

17445 = 3¹ × 5¹ × 1163¹

Step-3: Factors of 17430

List of positive integer factors of 17430 that divides 17430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 83, 105, 166, 210, 249, 415, 498, 581, 830, 1162, 1245, 1743, 2490, 2905, 3486, 5810, 8715

Step-4: Factors of 17445

List of positive integer factors of 17445 that divides 17430 without a remainder.

1, 3, 5, 15, 1163, 3489, 5815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17430 and 17445. The biggest common factor number is the GCF number.
So the greatest common factor 17430 and 17445 is 15.

Also check out the Least Common Multiple of 17430 and 17445