What is the Greatest Common Factor of 14910 and 14924?

Greatest common factor (GCF) of 14910 and 14924 is 14.

GCF(14910,14924) = 14

We will now calculate the prime factors of 14910 and 14924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14910 and 14924.

How to find the GCF of 14910 and 14924?

We will first find the prime factorization of 14910 and 14924. After we will calculate the factors of 14910 and 14924 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14924

Prime factors of 14924 are 2, 7, 13, 41. Prime factorization of 14924 in exponential form is:

14924 = 2² × 7¹ × 13¹ × 41¹

Step-3: Factors of 14910

List of positive integer factors of 14910 that divides 14910 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

Step-4: Factors of 14924

List of positive integer factors of 14924 that divides 14910 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 41, 52, 82, 91, 164, 182, 287, 364, 533, 574, 1066, 1148, 2132, 3731, 7462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14910 and 14924. The biggest common factor number is the GCF number.
So the greatest common factor 14910 and 14924 is 14.

Also check out the Least Common Multiple of 14910 and 14924