What is the Greatest Common Factor of 68814 and 68820?

Greatest common factor (GCF) of 68814 and 68820 is 6.

GCF(68814,68820) = 6

We will now calculate the prime factors of 68814 and 68820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68814 and 68820.

How to find the GCF of 68814 and 68820?

We will first find the prime factorization of 68814 and 68820. After we will calculate the factors of 68814 and 68820 and find the biggest common factor number .

Step-1: Prime Factorization of 68814

Prime factors of 68814 are 2, 3, 3823. Prime factorization of 68814 in exponential form is:

68814 = 2¹ × 3² × 3823¹

Step-2: Prime Factorization of 68820

Prime factors of 68820 are 2, 3, 5, 31, 37. Prime factorization of 68820 in exponential form is:

68820 = 2² × 3¹ × 5¹ × 31¹ × 37¹

Step-3: Factors of 68814

List of positive integer factors of 68814 that divides 68814 without a remainder.

1, 2, 3, 6, 9, 18, 3823, 7646, 11469, 22938, 34407

Step-4: Factors of 68820

List of positive integer factors of 68820 that divides 68814 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 37, 60, 62, 74, 93, 111, 124, 148, 155, 185, 186, 222, 310, 370, 372, 444, 465, 555, 620, 740, 930, 1110, 1147, 1860, 2220, 2294, 3441, 4588, 5735, 6882, 11470, 13764, 17205, 22940, 34410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68814 and 68820. The biggest common factor number is the GCF number.
So the greatest common factor 68814 and 68820 is 6.

Also check out the Least Common Multiple of 68814 and 68820