What is the Greatest Common Factor of 75052 and 75067?

Greatest common factor (GCF) of 75052 and 75067 is 1.

GCF(75052,75067) = 1

We will now calculate the prime factors of 75052 and 75067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75052 and 75067.

How to find the GCF of 75052 and 75067?

We will first find the prime factorization of 75052 and 75067. After we will calculate the factors of 75052 and 75067 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 75067

Prime factors of 75067 are 271, 277. Prime factorization of 75067 in exponential form is:

75067 = 271¹ × 277¹

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 75067

List of positive integer factors of 75067 that divides 75052 without a remainder.

1, 271, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75052 and 75067. The biggest common factor number is the GCF number.
So the greatest common factor 75052 and 75067 is 1.

Also check out the Least Common Multiple of 75052 and 75067