What is the Greatest Common Factor of 75025 and 75033?

Greatest common factor (GCF) of 75025 and 75033 is 1.

GCF(75025,75033) = 1

We will now calculate the prime factors of 75025 and 75033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75025 and 75033.

How to find the GCF of 75025 and 75033?

We will first find the prime factorization of 75025 and 75033. After we will calculate the factors of 75025 and 75033 and find the biggest common factor number .

Step-1: Prime Factorization of 75025

Prime factors of 75025 are 5, 3001. Prime factorization of 75025 in exponential form is:

75025 = 5² × 3001¹

Step-2: Prime Factorization of 75033

Prime factors of 75033 are 3, 7, 397. Prime factorization of 75033 in exponential form is:

75033 = 3³ × 7¹ × 397¹

Step-3: Factors of 75025

List of positive integer factors of 75025 that divides 75025 without a remainder.

1, 5, 25, 3001, 15005

Step-4: Factors of 75033

List of positive integer factors of 75033 that divides 75025 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 397, 1191, 2779, 3573, 8337, 10719, 25011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75025 and 75033. The biggest common factor number is the GCF number.
So the greatest common factor 75025 and 75033 is 1.

Also check out the Least Common Multiple of 75025 and 75033