What is the Greatest Common Factor of 14460 and 14472?

Greatest common factor (GCF) of 14460 and 14472 is 12.

GCF(14460,14472) = 12

We will now calculate the prime factors of 14460 and 14472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14460 and 14472.

How to find the GCF of 14460 and 14472?

We will first find the prime factorization of 14460 and 14472. After we will calculate the factors of 14460 and 14472 and find the biggest common factor number .

Step-1: Prime Factorization of 14460

Prime factors of 14460 are 2, 3, 5, 241. Prime factorization of 14460 in exponential form is:

14460 = 2² × 3¹ × 5¹ × 241¹

Step-2: 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-3: Factors of 14460

List of positive integer factors of 14460 that divides 14460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 241, 482, 723, 964, 1205, 1446, 2410, 2892, 3615, 4820, 7230

Step-4: Factors of 14472

List of positive integer factors of 14472 that divides 14460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14460 and 14472. The biggest common factor number is the GCF number.
So the greatest common factor 14460 and 14472 is 12.

Also check out the Least Common Multiple of 14460 and 14472