What is the Greatest Common Factor of 14904 and 14910?

Greatest common factor (GCF) of 14904 and 14910 is 6.

GCF(14904,14910) = 6

We will now calculate the prime factors of 14904 and 14910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14904 and 14910.

How to find the GCF of 14904 and 14910?

We will first find the prime factorization of 14904 and 14910. After we will calculate the factors of 14904 and 14910 and find the biggest common factor number .

Step-1: Prime Factorization of 14904

Prime factors of 14904 are 2, 3, 23. Prime factorization of 14904 in exponential form is:

14904 = 2³ × 3⁴ × 23¹

Step-2: Prime Factorization of 14910

Prime factors of 14910 are 2, 3, 5, 7, 71. Prime factorization of 14910 in exponential form is:

14910 = 2¹ × 3¹ × 5¹ × 7¹ × 71¹

Step-3: Factors of 14904

List of positive integer factors of 14904 that divides 14904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 81, 92, 108, 138, 162, 184, 207, 216, 276, 324, 414, 552, 621, 648, 828, 1242, 1656, 1863, 2484, 3726, 4968, 7452

Step-4: Factors of 14910

List of positive integer factors of 14910 that divides 14904 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 71, 105, 142, 210, 213, 355, 426, 497, 710, 994, 1065, 1491, 2130, 2485, 2982, 4970, 7455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14904 and 14910. The biggest common factor number is the GCF number.
So the greatest common factor 14904 and 14910 is 6.

Also check out the Least Common Multiple of 14904 and 14910