What is the Greatest Common Factor of 71820 and 71839?

Greatest common factor (GCF) of 71820 and 71839 is 19.

GCF(71820,71839) = 19

We will now calculate the prime factors of 71820 and 71839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71820 and 71839.

How to find the GCF of 71820 and 71839?

We will first find the prime factorization of 71820 and 71839. After we will calculate the factors of 71820 and 71839 and find the biggest common factor number .

Step-1: Prime Factorization of 71820

Prime factors of 71820 are 2, 3, 5, 7, 19. Prime factorization of 71820 in exponential form is:

71820 = 2² × 3³ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 71839

Prime factors of 71839 are 19, 199. Prime factorization of 71839 in exponential form is:

71839 = 19² × 199¹

Step-3: Factors of 71820

List of positive integer factors of 71820 that divides 71820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 19, 20, 21, 27, 28, 30, 35, 36, 38, 42, 45, 54, 57, 60, 63, 70, 76, 84, 90, 95, 105, 108, 114, 126, 133, 135, 140, 171, 180, 189, 190, 210, 228, 252, 266, 270, 285, 315, 342, 378, 380, 399, 420, 513, 532, 540, 570, 630, 665, 684, 756, 798, 855, 945, 1026, 1140, 1197, 1260, 1330, 1596, 1710, 1890, 1995, 2052, 2394, 2565, 2660, 3420, 3591, 3780, 3990, 4788, 5130, 5985, 7182, 7980, 10260, 11970, 14364, 17955, 23940, 35910

Step-4: Factors of 71839

List of positive integer factors of 71839 that divides 71820 without a remainder.

1, 19, 199, 361, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71820 and 71839. The biggest common factor number is the GCF number.
So the greatest common factor 71820 and 71839 is 19.

Also check out the Least Common Multiple of 71820 and 71839