What is the Greatest Common Factor of 75052 and 75058?

Greatest common factor (GCF) of 75052 and 75058 is 2.

GCF(75052,75058) = 2

We will now calculate the prime factors of 75052 and 75058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75052 and 75058.

How to find the GCF of 75052 and 75058?

We will first find the prime factorization of 75052 and 75058. After we will calculate the factors of 75052 and 75058 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75058

Prime factors of 75058 are 2, 37529. Prime factorization of 75058 in exponential form is:

75058 = 2¹ × 37529¹

Step-3: Factors of 75052

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

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

Step-4: Factors of 75058

List of positive integer factors of 75058 that divides 75052 without a remainder.

1, 2, 37529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75052 and 75058. The biggest common factor number is the GCF number.
So the greatest common factor 75052 and 75058 is 2.

Also check out the Least Common Multiple of 75052 and 75058