What is the Greatest Common Factor of 75038 and 75052?

Greatest common factor (GCF) of 75038 and 75052 is 2.

GCF(75038,75052) = 2

We will now calculate the prime factors of 75038 and 75052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75038 and 75052.

How to find the GCF of 75038 and 75052?

We will first find the prime factorization of 75038 and 75052. After we will calculate the factors of 75038 and 75052 and find the biggest common factor number .

Step-1: Prime Factorization of 75038

Prime factors of 75038 are 2, 17, 2207. Prime factorization of 75038 in exponential form is:

75038 = 2¹ × 17¹ × 2207¹

Step-2: Prime Factorization of 75052

Prime factors of 75052 are 2, 29, 647. Prime factorization of 75052 in exponential form is:

75052 = 2² × 29¹ × 647¹

Step-3: Factors of 75038

List of positive integer factors of 75038 that divides 75038 without a remainder.

1, 2, 17, 34, 2207, 4414, 37519

Step-4: Factors of 75052

List of positive integer factors of 75052 that divides 75038 without a remainder.

1, 2, 4, 29, 58, 116, 647, 1294, 2588, 18763, 37526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75038 and 75052. The biggest common factor number is the GCF number.
So the greatest common factor 75038 and 75052 is 2.

Also check out the Least Common Multiple of 75038 and 75052