What is the Greatest Common Factor of 17430 and 17448?

Greatest common factor (GCF) of 17430 and 17448 is 6.

GCF(17430,17448) = 6

We will now calculate the prime factors of 17430 and 17448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17430 and 17448.

How to find the GCF of 17430 and 17448?

We will first find the prime factorization of 17430 and 17448. After we will calculate the factors of 17430 and 17448 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 17448

Prime factors of 17448 are 2, 3, 727. Prime factorization of 17448 in exponential form is:

17448 = 2³ × 3¹ × 727¹

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 17448

List of positive integer factors of 17448 that divides 17430 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 727, 1454, 2181, 2908, 4362, 5816, 8724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17430 and 17448. The biggest common factor number is the GCF number.
So the greatest common factor 17430 and 17448 is 6.

Also check out the Least Common Multiple of 17430 and 17448