What is the Greatest Common Factor of 68205 and 68211?

Greatest common factor (GCF) of 68205 and 68211 is 3.

GCF(68205,68211) = 3

We will now calculate the prime factors of 68205 and 68211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68205 and 68211.

How to find the GCF of 68205 and 68211?

We will first find the prime factorization of 68205 and 68211. After we will calculate the factors of 68205 and 68211 and find the biggest common factor number .

Step-1: Prime Factorization of 68205

Prime factors of 68205 are 3, 5, 4547. Prime factorization of 68205 in exponential form is:

68205 = 3¹ × 5¹ × 4547¹

Step-2: Prime Factorization of 68211

Prime factors of 68211 are 3, 11, 13, 53. Prime factorization of 68211 in exponential form is:

68211 = 3² × 11¹ × 13¹ × 53¹

Step-3: Factors of 68205

List of positive integer factors of 68205 that divides 68205 without a remainder.

1, 3, 5, 15, 4547, 13641, 22735

Step-4: Factors of 68211

List of positive integer factors of 68211 that divides 68205 without a remainder.

1, 3, 9, 11, 13, 33, 39, 53, 99, 117, 143, 159, 429, 477, 583, 689, 1287, 1749, 2067, 5247, 6201, 7579, 22737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68205 and 68211. The biggest common factor number is the GCF number.
So the greatest common factor 68205 and 68211 is 3.

Also check out the Least Common Multiple of 68205 and 68211