What is the Greatest Common Factor of 68049 and 68055?

Greatest common factor (GCF) of 68049 and 68055 is 3.

GCF(68049,68055) = 3

We will now calculate the prime factors of 68049 and 68055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68049 and 68055.

How to find the GCF of 68049 and 68055?

We will first find the prime factorization of 68049 and 68055. After we will calculate the factors of 68049 and 68055 and find the biggest common factor number .

Step-1: Prime Factorization of 68049

Prime factors of 68049 are 3, 7561. Prime factorization of 68049 in exponential form is:

68049 = 3² × 7561¹

Step-2: Prime Factorization of 68055

Prime factors of 68055 are 3, 5, 13, 349. Prime factorization of 68055 in exponential form is:

68055 = 3¹ × 5¹ × 13¹ × 349¹

Step-3: Factors of 68049

List of positive integer factors of 68049 that divides 68049 without a remainder.

1, 3, 9, 7561, 22683

Step-4: Factors of 68055

List of positive integer factors of 68055 that divides 68049 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 349, 1047, 1745, 4537, 5235, 13611, 22685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68049 and 68055. The biggest common factor number is the GCF number.
So the greatest common factor 68049 and 68055 is 3.

Also check out the Least Common Multiple of 68049 and 68055