What is the Greatest Common Factor of 68202 and 68218?

Greatest common factor (GCF) of 68202 and 68218 is 2.

GCF(68202,68218) = 2

We will now calculate the prime factors of 68202 and 68218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68202 and 68218.

How to find the GCF of 68202 and 68218?

We will first find the prime factorization of 68202 and 68218. After we will calculate the factors of 68202 and 68218 and find the biggest common factor number .

Step-1: Prime Factorization of 68202

Prime factors of 68202 are 2, 3, 421. Prime factorization of 68202 in exponential form is:

68202 = 2¹ × 3⁴ × 421¹

Step-2: Prime Factorization of 68218

Prime factors of 68218 are 2, 23, 1483. Prime factorization of 68218 in exponential form is:

68218 = 2¹ × 23¹ × 1483¹

Step-3: Factors of 68202

List of positive integer factors of 68202 that divides 68202 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 421, 842, 1263, 2526, 3789, 7578, 11367, 22734, 34101

Step-4: Factors of 68218

List of positive integer factors of 68218 that divides 68202 without a remainder.

1, 2, 23, 46, 1483, 2966, 34109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68202 and 68218. The biggest common factor number is the GCF number.
So the greatest common factor 68202 and 68218 is 2.

Also check out the Least Common Multiple of 68202 and 68218