What is the Greatest Common Factor of 14978 and 14996?

Greatest common factor (GCF) of 14978 and 14996 is 2.

GCF(14978,14996) = 2

We will now calculate the prime factors of 14978 and 14996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14978 and 14996.

How to find the GCF of 14978 and 14996?

We will first find the prime factorization of 14978 and 14996. After we will calculate the factors of 14978 and 14996 and find the biggest common factor number .

Step-1: Prime Factorization of 14978

Prime factors of 14978 are 2, 7489. Prime factorization of 14978 in exponential form is:

14978 = 2¹ × 7489¹

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 14978

List of positive integer factors of 14978 that divides 14978 without a remainder.

1, 2, 7489

Step-4: Factors of 14996

List of positive integer factors of 14996 that divides 14978 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 14978 and 14996. The biggest common factor number is the GCF number.
So the greatest common factor 14978 and 14996 is 2.

Also check out the Least Common Multiple of 14978 and 14996