What is the Greatest Common Factor of 17412 and 17428?

Greatest common factor (GCF) of 17412 and 17428 is 4.

GCF(17412,17428) = 4

We will now calculate the prime factors of 17412 and 17428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17412 and 17428.

How to find the GCF of 17412 and 17428?

We will first find the prime factorization of 17412 and 17428. After we will calculate the factors of 17412 and 17428 and find the biggest common factor number .

Step-1: Prime Factorization of 17412

Prime factors of 17412 are 2, 3, 1451. Prime factorization of 17412 in exponential form is:

17412 = 2² × 3¹ × 1451¹

Step-2: Prime Factorization of 17428

Prime factors of 17428 are 2, 4357. Prime factorization of 17428 in exponential form is:

17428 = 2² × 4357¹

Step-3: Factors of 17412

List of positive integer factors of 17412 that divides 17412 without a remainder.

1, 2, 3, 4, 6, 12, 1451, 2902, 4353, 5804, 8706

Step-4: Factors of 17428

List of positive integer factors of 17428 that divides 17412 without a remainder.

1, 2, 4, 4357, 8714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17412 and 17428. The biggest common factor number is the GCF number.
So the greatest common factor 17412 and 17428 is 4.

Also check out the Least Common Multiple of 17412 and 17428