What is the Greatest Common Factor of 14320 and 14332?

Greatest common factor (GCF) of 14320 and 14332 is 4.

GCF(14320,14332) = 4

We will now calculate the prime factors of 14320 and 14332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14320 and 14332.

How to find the GCF of 14320 and 14332?

We will first find the prime factorization of 14320 and 14332. After we will calculate the factors of 14320 and 14332 and find the biggest common factor number .

Step-1: Prime Factorization of 14320

Prime factors of 14320 are 2, 5, 179. Prime factorization of 14320 in exponential form is:

14320 = 2⁴ × 5¹ × 179¹

Step-2: Prime Factorization of 14332

Prime factors of 14332 are 2, 3583. Prime factorization of 14332 in exponential form is:

14332 = 2² × 3583¹

Step-3: Factors of 14320

List of positive integer factors of 14320 that divides 14320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 7160

Step-4: Factors of 14332

List of positive integer factors of 14332 that divides 14320 without a remainder.

1, 2, 4, 3583, 7166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14320 and 14332. The biggest common factor number is the GCF number.
So the greatest common factor 14320 and 14332 is 4.

Also check out the Least Common Multiple of 14320 and 14332