What is the Greatest Common Factor of 68058 and 68070?

Greatest common factor (GCF) of 68058 and 68070 is 6.

GCF(68058,68070) = 6

We will now calculate the prime factors of 68058 and 68070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68058 and 68070.

How to find the GCF of 68058 and 68070?

We will first find the prime factorization of 68058 and 68070. After we will calculate the factors of 68058 and 68070 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 68070

Prime factors of 68070 are 2, 3, 5, 2269. Prime factorization of 68070 in exponential form is:

68070 = 2¹ × 3¹ × 5¹ × 2269¹

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 68070

List of positive integer factors of 68070 that divides 68058 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2269, 4538, 6807, 11345, 13614, 22690, 34035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68058 and 68070. The biggest common factor number is the GCF number.
So the greatest common factor 68058 and 68070 is 6.

Also check out the Least Common Multiple of 68058 and 68070