What is the Greatest Common Factor of 71168 and 71175?

Greatest common factor (GCF) of 71168 and 71175 is 1.

GCF(71168,71175) = 1

We will now calculate the prime factors of 71168 and 71175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71168 and 71175.

How to find the GCF of 71168 and 71175?

We will first find the prime factorization of 71168 and 71175. After we will calculate the factors of 71168 and 71175 and find the biggest common factor number .

Step-1: Prime Factorization of 71168

Prime factors of 71168 are 2, 139. Prime factorization of 71168 in exponential form is:

71168 = 2⁹ × 139¹

Step-2: Prime Factorization of 71175

Prime factors of 71175 are 3, 5, 13, 73. Prime factorization of 71175 in exponential form is:

71175 = 3¹ × 5² × 13¹ × 73¹

Step-3: Factors of 71168

List of positive integer factors of 71168 that divides 71168 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 139, 256, 278, 512, 556, 1112, 2224, 4448, 8896, 17792, 35584

Step-4: Factors of 71175

List of positive integer factors of 71175 that divides 71168 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 73, 75, 195, 219, 325, 365, 949, 975, 1095, 1825, 2847, 4745, 5475, 14235, 23725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71168 and 71175. The biggest common factor number is the GCF number.
So the greatest common factor 71168 and 71175 is 1.

Also check out the Least Common Multiple of 71168 and 71175