What is the Greatest Common Factor of 71805 and 71820?

Greatest common factor (GCF) of 71805 and 71820 is 15.

GCF(71805,71820) = 15

We will now calculate the prime factors of 71805 and 71820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71805 and 71820.

How to find the GCF of 71805 and 71820?

We will first find the prime factorization of 71805 and 71820. After we will calculate the factors of 71805 and 71820 and find the biggest common factor number .

Step-1: Prime Factorization of 71805

Prime factors of 71805 are 3, 5, 4787. Prime factorization of 71805 in exponential form is:

71805 = 3¹ × 5¹ × 4787¹

Step-2: 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-3: Factors of 71805

List of positive integer factors of 71805 that divides 71805 without a remainder.

1, 3, 5, 15, 4787, 14361, 23935

Step-4: Factors of 71820

List of positive integer factors of 71820 that divides 71805 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71805 and 71820. The biggest common factor number is the GCF number.
So the greatest common factor 71805 and 71820 is 15.

Also check out the Least Common Multiple of 71805 and 71820