What is the Greatest Common Factor of 75225 and 75245?

Greatest common factor (GCF) of 75225 and 75245 is 5.

GCF(75225,75245) = 5

We will now calculate the prime factors of 75225 and 75245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75225 and 75245.

How to find the GCF of 75225 and 75245?

We will first find the prime factorization of 75225 and 75245. After we will calculate the factors of 75225 and 75245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75245

Prime factors of 75245 are 5, 101, 149. Prime factorization of 75245 in exponential form is:

75245 = 5¹ × 101¹ × 149¹

Step-3: Factors of 75225

List of positive integer factors of 75225 that divides 75225 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

Step-4: Factors of 75245

List of positive integer factors of 75245 that divides 75225 without a remainder.

1, 5, 101, 149, 505, 745, 15049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75225 and 75245. The biggest common factor number is the GCF number.
So the greatest common factor 75225 and 75245 is 5.

Also check out the Least Common Multiple of 75225 and 75245