What is the Greatest Common Factor of 68042 and 68052?

Greatest common factor (GCF) of 68042 and 68052 is 2.

GCF(68042,68052) = 2

We will now calculate the prime factors of 68042 and 68052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68042 and 68052.

How to find the GCF of 68042 and 68052?

We will first find the prime factorization of 68042 and 68052. After we will calculate the factors of 68042 and 68052 and find the biggest common factor number .

Step-1: Prime Factorization of 68042

Prime factors of 68042 are 2, 13, 2617. Prime factorization of 68042 in exponential form is:

68042 = 2¹ × 13¹ × 2617¹

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 68042

List of positive integer factors of 68042 that divides 68042 without a remainder.

1, 2, 13, 26, 2617, 5234, 34021

Step-4: Factors of 68052

List of positive integer factors of 68052 that divides 68042 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 68042 and 68052. The biggest common factor number is the GCF number.
So the greatest common factor 68042 and 68052 is 2.

Also check out the Least Common Multiple of 68042 and 68052