What is the Greatest Common Factor of 17430 and 17436?

Greatest common factor (GCF) of 17430 and 17436 is 6.

GCF(17430,17436) = 6

We will now calculate the prime factors of 17430 and 17436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17430 and 17436.

How to find the GCF of 17430 and 17436?

We will first find the prime factorization of 17430 and 17436. After we will calculate the factors of 17430 and 17436 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 17436

Prime factors of 17436 are 2, 3, 1453. Prime factorization of 17436 in exponential form is:

17436 = 2² × 3¹ × 1453¹

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 17436

List of positive integer factors of 17436 that divides 17430 without a remainder.

1, 2, 3, 4, 6, 12, 1453, 2906, 4359, 5812, 8718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17430 and 17436. The biggest common factor number is the GCF number.
So the greatest common factor 17430 and 17436 is 6.

Also check out the Least Common Multiple of 17430 and 17436