What is the Greatest Common Factor of 68820 and 68829?

Greatest common factor (GCF) of 68820 and 68829 is 3.

GCF(68820,68829) = 3

We will now calculate the prime factors of 68820 and 68829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68820 and 68829.

How to find the GCF of 68820 and 68829?

We will first find the prime factorization of 68820 and 68829. After we will calculate the factors of 68820 and 68829 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68829

Prime factors of 68829 are 3, 22943. Prime factorization of 68829 in exponential form is:

68829 = 3¹ × 22943¹

Step-3: Factors of 68820

List of positive integer factors of 68820 that divides 68820 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

Step-4: Factors of 68829

List of positive integer factors of 68829 that divides 68820 without a remainder.

1, 3, 22943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68820 and 68829. The biggest common factor number is the GCF number.
So the greatest common factor 68820 and 68829 is 3.

Also check out the Least Common Multiple of 68820 and 68829