What is the Greatest Common Factor of 75211 and 75225?

Greatest common factor (GCF) of 75211 and 75225 is 1.

GCF(75211,75225) = 1

We will now calculate the prime factors of 75211 and 75225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75211 and 75225.

How to find the GCF of 75211 and 75225?

We will first find the prime factorization of 75211 and 75225. After we will calculate the factors of 75211 and 75225 and find the biggest common factor number .

Step-1: Prime Factorization of 75211

Prime factors of 75211 are 75211. Prime factorization of 75211 in exponential form is:

75211 = 75211¹

Step-2: Prime Factorization of 75225

Prime factors of 75225 are 3, 5, 17, 59. Prime factorization of 75225 in exponential form is:

75225 = 3¹ × 5² × 17¹ × 59¹

Step-3: Factors of 75211

List of positive integer factors of 75211 that divides 75211 without a remainder.

Step-4: Factors of 75225

List of positive integer factors of 75225 that divides 75211 without a remainder.

1, 3, 5, 15, 17, 25, 51, 59, 75, 85, 177, 255, 295, 425, 885, 1003, 1275, 1475, 3009, 4425, 5015, 15045, 25075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75211 and 75225. The biggest common factor number is the GCF number.
So the greatest common factor 75211 and 75225 is 1.

Also check out the Least Common Multiple of 75211 and 75225