What is the Greatest Common Factor of 75185 and 75205?

Greatest common factor (GCF) of 75185 and 75205 is 5.

GCF(75185,75205) = 5

We will now calculate the prime factors of 75185 and 75205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75185 and 75205.

How to find the GCF of 75185 and 75205?

We will first find the prime factorization of 75185 and 75205. After we will calculate the factors of 75185 and 75205 and find the biggest common factor number .

Step-1: Prime Factorization of 75185

Prime factors of 75185 are 5, 11, 1367. Prime factorization of 75185 in exponential form is:

75185 = 5¹ × 11¹ × 1367¹

Step-2: Prime Factorization of 75205

Prime factors of 75205 are 5, 13, 89. Prime factorization of 75205 in exponential form is:

75205 = 5¹ × 13² × 89¹

Step-3: Factors of 75185

List of positive integer factors of 75185 that divides 75185 without a remainder.

1, 5, 11, 55, 1367, 6835, 15037

Step-4: Factors of 75205

List of positive integer factors of 75205 that divides 75185 without a remainder.

1, 5, 13, 65, 89, 169, 445, 845, 1157, 5785, 15041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75185 and 75205. The biggest common factor number is the GCF number.
So the greatest common factor 75185 and 75205 is 5.

Also check out the Least Common Multiple of 75185 and 75205