What is the Greatest Common Factor of 68049 and 68058?

Greatest common factor (GCF) of 68049 and 68058 is 9.

GCF(68049,68058) = 9

We will now calculate the prime factors of 68049 and 68058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68049 and 68058.

How to find the GCF of 68049 and 68058?

We will first find the prime factorization of 68049 and 68058. After we will calculate the factors of 68049 and 68058 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 68058

Prime factors of 68058 are 2, 3, 19, 199. Prime factorization of 68058 in exponential form is:

68058 = 2¹ × 3² × 19¹ × 199¹

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 68058

List of positive integer factors of 68058 that divides 68049 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 199, 342, 398, 597, 1194, 1791, 3582, 3781, 7562, 11343, 22686, 34029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68049 and 68058. The biggest common factor number is the GCF number.
So the greatest common factor 68049 and 68058 is 9.

Also check out the Least Common Multiple of 68049 and 68058