What is the Greatest Common Factor of 71814 and 71820?

Greatest common factor (GCF) of 71814 and 71820 is 6.

GCF(71814,71820) = 6

We will now calculate the prime factors of 71814 and 71820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71814 and 71820.

How to find the GCF of 71814 and 71820?

We will first find the prime factorization of 71814 and 71820. After we will calculate the factors of 71814 and 71820 and find the biggest common factor number .

Step-1: Prime Factorization of 71814

Prime factors of 71814 are 2, 3, 11969. Prime factorization of 71814 in exponential form is:

71814 = 2¹ × 3¹ × 11969¹

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 71814

List of positive integer factors of 71814 that divides 71814 without a remainder.

1, 2, 3, 6, 11969, 23938, 35907

Step-4: Factors of 71820

List of positive integer factors of 71820 that divides 71814 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 71814 and 71820. The biggest common factor number is the GCF number.
So the greatest common factor 71814 and 71820 is 6.

Also check out the Least Common Multiple of 71814 and 71820