What is the Greatest Common Factor of 14460 and 14476?

Greatest common factor (GCF) of 14460 and 14476 is 4.

GCF(14460,14476) = 4

We will now calculate the prime factors of 14460 and 14476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14460 and 14476.

How to find the GCF of 14460 and 14476?

We will first find the prime factorization of 14460 and 14476. After we will calculate the factors of 14460 and 14476 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 14476

Prime factors of 14476 are 2, 7, 11, 47. Prime factorization of 14476 in exponential form is:

14476 = 2² × 7¹ × 11¹ × 47¹

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 14476

List of positive integer factors of 14476 that divides 14460 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 47, 77, 94, 154, 188, 308, 329, 517, 658, 1034, 1316, 2068, 3619, 7238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14460 and 14476. The biggest common factor number is the GCF number.
So the greatest common factor 14460 and 14476 is 4.

Also check out the Least Common Multiple of 14460 and 14476