What is the Greatest Common Factor of 14984 and 14996?

Greatest common factor (GCF) of 14984 and 14996 is 4.

GCF(14984,14996) = 4

We will now calculate the prime factors of 14984 and 14996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14984 and 14996.

How to find the GCF of 14984 and 14996?

We will first find the prime factorization of 14984 and 14996. After we will calculate the factors of 14984 and 14996 and find the biggest common factor number .

Step-1: Prime Factorization of 14984

Prime factors of 14984 are 2, 1873. Prime factorization of 14984 in exponential form is:

14984 = 2³ × 1873¹

Step-2: Prime Factorization of 14996

Prime factors of 14996 are 2, 23, 163. Prime factorization of 14996 in exponential form is:

14996 = 2² × 23¹ × 163¹

Step-3: Factors of 14984

List of positive integer factors of 14984 that divides 14984 without a remainder.

1, 2, 4, 8, 1873, 3746, 7492

Step-4: Factors of 14996

List of positive integer factors of 14996 that divides 14984 without a remainder.

1, 2, 4, 23, 46, 92, 163, 326, 652, 3749, 7498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14984 and 14996. The biggest common factor number is the GCF number.
So the greatest common factor 14984 and 14996 is 4.

Also check out the Least Common Multiple of 14984 and 14996