What is the Greatest Common Factor of 61175 and 61185?

Greatest common factor (GCF) of 61175 and 61185 is 5.

GCF(61175,61185) = 5

We will now calculate the prime factors of 61175 and 61185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61175 and 61185.

How to find the GCF of 61175 and 61185?

We will first find the prime factorization of 61175 and 61185. After we will calculate the factors of 61175 and 61185 and find the biggest common factor number .

Step-1: Prime Factorization of 61175

Prime factors of 61175 are 5, 2447. Prime factorization of 61175 in exponential form is:

61175 = 5² × 2447¹

Step-2: Prime Factorization of 61185

Prime factors of 61185 are 3, 5, 4079. Prime factorization of 61185 in exponential form is:

61185 = 3¹ × 5¹ × 4079¹

Step-3: Factors of 61175

List of positive integer factors of 61175 that divides 61175 without a remainder.

1, 5, 25, 2447, 12235

Step-4: Factors of 61185

List of positive integer factors of 61185 that divides 61175 without a remainder.

1, 3, 5, 15, 4079, 12237, 20395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61175 and 61185. The biggest common factor number is the GCF number.
So the greatest common factor 61175 and 61185 is 5.

Also check out the Least Common Multiple of 61175 and 61185