What is the Greatest Common Factor of 61168 and 61175?

Greatest common factor (GCF) of 61168 and 61175 is 1.

GCF(61168,61175) = 1

We will now calculate the prime factors of 61168 and 61175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61168 and 61175.

How to find the GCF of 61168 and 61175?

We will first find the prime factorization of 61168 and 61175. After we will calculate the factors of 61168 and 61175 and find the biggest common factor number .

Step-1: Prime Factorization of 61168

Prime factors of 61168 are 2, 3823. Prime factorization of 61168 in exponential form is:

61168 = 2⁴ × 3823¹

Step-2: Prime Factorization of 61175

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

61175 = 5² × 2447¹

Step-3: Factors of 61168

List of positive integer factors of 61168 that divides 61168 without a remainder.

1, 2, 4, 8, 16, 3823, 7646, 15292, 30584

Step-4: Factors of 61175

List of positive integer factors of 61175 that divides 61168 without a remainder.

1, 5, 25, 2447, 12235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61168 and 61175. The biggest common factor number is the GCF number.
So the greatest common factor 61168 and 61175 is 1.

Also check out the Least Common Multiple of 61168 and 61175