What is the Greatest Common Factor of 68058 and 68077?

Greatest common factor (GCF) of 68058 and 68077 is 19.

GCF(68058,68077) = 19

We will now calculate the prime factors of 68058 and 68077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68058 and 68077.

How to find the GCF of 68058 and 68077?

We will first find the prime factorization of 68058 and 68077. After we will calculate the factors of 68058 and 68077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68077

Prime factors of 68077 are 19, 3583. Prime factorization of 68077 in exponential form is:

68077 = 19¹ × 3583¹

Step-3: Factors of 68058

List of positive integer factors of 68058 that divides 68058 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

Step-4: Factors of 68077

List of positive integer factors of 68077 that divides 68058 without a remainder.

1, 19, 3583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68058 and 68077. The biggest common factor number is the GCF number.
So the greatest common factor 68058 and 68077 is 19.

Also check out the Least Common Multiple of 68058 and 68077