What is the Greatest Common Factor of 68034 and 68052?

Greatest common factor (GCF) of 68034 and 68052 is 6.

GCF(68034,68052) = 6

We will now calculate the prime factors of 68034 and 68052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68034 and 68052.

How to find the GCF of 68034 and 68052?

We will first find the prime factorization of 68034 and 68052. After we will calculate the factors of 68034 and 68052 and find the biggest common factor number .

Step-1: Prime Factorization of 68034

Prime factors of 68034 are 2, 3, 17, 23, 29. Prime factorization of 68034 in exponential form is:

68034 = 2¹ × 3¹ × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 68052

Prime factors of 68052 are 2, 3, 53, 107. Prime factorization of 68052 in exponential form is:

68052 = 2² × 3¹ × 53¹ × 107¹

Step-3: Factors of 68034

List of positive integer factors of 68034 that divides 68034 without a remainder.

1, 2, 3, 6, 17, 23, 29, 34, 46, 51, 58, 69, 87, 102, 138, 174, 391, 493, 667, 782, 986, 1173, 1334, 1479, 2001, 2346, 2958, 4002, 11339, 22678, 34017

Step-4: Factors of 68052

List of positive integer factors of 68052 that divides 68034 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 107, 159, 212, 214, 318, 321, 428, 636, 642, 1284, 5671, 11342, 17013, 22684, 34026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68034 and 68052. The biggest common factor number is the GCF number.
So the greatest common factor 68034 and 68052 is 6.

Also check out the Least Common Multiple of 68034 and 68052