What is the Greatest Common Factor of 68820 and 68834?

Greatest common factor (GCF) of 68820 and 68834 is 2.

GCF(68820,68834) = 2

We will now calculate the prime factors of 68820 and 68834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68820 and 68834.

How to find the GCF of 68820 and 68834?

We will first find the prime factorization of 68820 and 68834. After we will calculate the factors of 68820 and 68834 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 68834

Prime factors of 68834 are 2, 127, 271. Prime factorization of 68834 in exponential form is:

68834 = 2¹ × 127¹ × 271¹

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 68834

List of positive integer factors of 68834 that divides 68820 without a remainder.

1, 2, 127, 254, 271, 542, 34417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68820 and 68834. The biggest common factor number is the GCF number.
So the greatest common factor 68820 and 68834 is 2.

Also check out the Least Common Multiple of 68820 and 68834