What is the Greatest Common Factor of 75052 and 75066?

Greatest common factor (GCF) of 75052 and 75066 is 2.

GCF(75052,75066) = 2

We will now calculate the prime factors of 75052 and 75066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75052 and 75066.

How to find the GCF of 75052 and 75066?

We will first find the prime factorization of 75052 and 75066. After we will calculate the factors of 75052 and 75066 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 75066

Prime factors of 75066 are 2, 3, 12511. Prime factorization of 75066 in exponential form is:

75066 = 2¹ × 3¹ × 12511¹

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 75066

List of positive integer factors of 75066 that divides 75052 without a remainder.

1, 2, 3, 6, 12511, 25022, 37533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75052 and 75066. The biggest common factor number is the GCF number.
So the greatest common factor 75052 and 75066 is 2.

Also check out the Least Common Multiple of 75052 and 75066