What is the Greatest Common Factor of 14472 and 14487?

Greatest common factor (GCF) of 14472 and 14487 is 3.

GCF(14472,14487) = 3

We will now calculate the prime factors of 14472 and 14487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14472 and 14487.

How to find the GCF of 14472 and 14487?

We will first find the prime factorization of 14472 and 14487. After we will calculate the factors of 14472 and 14487 and find the biggest common factor number .

Step-1: Prime Factorization of 14472

Prime factors of 14472 are 2, 3, 67. Prime factorization of 14472 in exponential form is:

14472 = 2³ × 3³ × 67¹

Step-2: Prime Factorization of 14487

Prime factors of 14487 are 3, 11, 439. Prime factorization of 14487 in exponential form is:

14487 = 3¹ × 11¹ × 439¹

Step-3: Factors of 14472

List of positive integer factors of 14472 that divides 14472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 67, 72, 108, 134, 201, 216, 268, 402, 536, 603, 804, 1206, 1608, 1809, 2412, 3618, 4824, 7236

Step-4: Factors of 14487

List of positive integer factors of 14487 that divides 14472 without a remainder.

1, 3, 11, 33, 439, 1317, 4829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14472 and 14487. The biggest common factor number is the GCF number.
So the greatest common factor 14472 and 14487 is 3.

Also check out the Least Common Multiple of 14472 and 14487