What is the Greatest Common Factor of 68820 and 68830?

Greatest common factor (GCF) of 68820 and 68830 is 10.

GCF(68820,68830) = 10

We will now calculate the prime factors of 68820 and 68830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68820 and 68830.

How to find the GCF of 68820 and 68830?

We will first find the prime factorization of 68820 and 68830. After we will calculate the factors of 68820 and 68830 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 68830

Prime factors of 68830 are 2, 5, 6883. Prime factorization of 68830 in exponential form is:

68830 = 2¹ × 5¹ × 6883¹

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 68830

List of positive integer factors of 68830 that divides 68820 without a remainder.

1, 2, 5, 10, 6883, 13766, 34415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68820 and 68830. The biggest common factor number is the GCF number.
So the greatest common factor 68820 and 68830 is 10.

Also check out the Least Common Multiple of 68820 and 68830