What is the Greatest Common Factor of 14820 and 14839?

Greatest common factor (GCF) of 14820 and 14839 is 19.

GCF(14820,14839) = 19

We will now calculate the prime factors of 14820 and 14839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14820 and 14839.

How to find the GCF of 14820 and 14839?

We will first find the prime factorization of 14820 and 14839. After we will calculate the factors of 14820 and 14839 and find the biggest common factor number .

Step-1: Prime Factorization of 14820

Prime factors of 14820 are 2, 3, 5, 13, 19. Prime factorization of 14820 in exponential form is:

14820 = 2² × 3¹ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 14839

Prime factors of 14839 are 11, 19, 71. Prime factorization of 14839 in exponential form is:

14839 = 11¹ × 19¹ × 71¹

Step-3: Factors of 14820

List of positive integer factors of 14820 that divides 14820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 26, 30, 38, 39, 52, 57, 60, 65, 76, 78, 95, 114, 130, 156, 190, 195, 228, 247, 260, 285, 380, 390, 494, 570, 741, 780, 988, 1140, 1235, 1482, 2470, 2964, 3705, 4940, 7410

Step-4: Factors of 14839

List of positive integer factors of 14839 that divides 14820 without a remainder.

1, 11, 19, 71, 209, 781, 1349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14820 and 14839. The biggest common factor number is the GCF number.
So the greatest common factor 14820 and 14839 is 19.

Also check out the Least Common Multiple of 14820 and 14839