What is the Greatest Common Factor of 68038 and 68052?

Greatest common factor (GCF) of 68038 and 68052 is 2.

GCF(68038,68052) = 2

We will now calculate the prime factors of 68038 and 68052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68038 and 68052.

How to find the GCF of 68038 and 68052?

We will first find the prime factorization of 68038 and 68052. After we will calculate the factors of 68038 and 68052 and find the biggest common factor number .

Step-1: Prime Factorization of 68038

Prime factors of 68038 are 2, 34019. Prime factorization of 68038 in exponential form is:

68038 = 2¹ × 34019¹

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 68038

List of positive integer factors of 68038 that divides 68038 without a remainder.

1, 2, 34019

Step-4: Factors of 68052

List of positive integer factors of 68052 that divides 68038 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 68038 and 68052. The biggest common factor number is the GCF number.
So the greatest common factor 68038 and 68052 is 2.

Also check out the Least Common Multiple of 68038 and 68052