What is the Greatest Common Factor of 71152 and 71166?

Greatest common factor (GCF) of 71152 and 71166 is 2.

GCF(71152,71166) = 2

We will now calculate the prime factors of 71152 and 71166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71152 and 71166.

How to find the GCF of 71152 and 71166?

We will first find the prime factorization of 71152 and 71166. After we will calculate the factors of 71152 and 71166 and find the biggest common factor number .

Step-1: Prime Factorization of 71152

Prime factors of 71152 are 2, 4447. Prime factorization of 71152 in exponential form is:

71152 = 2⁴ × 4447¹

Step-2: Prime Factorization of 71166

Prime factors of 71166 are 2, 3, 29, 409. Prime factorization of 71166 in exponential form is:

71166 = 2¹ × 3¹ × 29¹ × 409¹

Step-3: Factors of 71152

List of positive integer factors of 71152 that divides 71152 without a remainder.

1, 2, 4, 8, 16, 4447, 8894, 17788, 35576

Step-4: Factors of 71166

List of positive integer factors of 71166 that divides 71152 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 409, 818, 1227, 2454, 11861, 23722, 35583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71152 and 71166. The biggest common factor number is the GCF number.
So the greatest common factor 71152 and 71166 is 2.

Also check out the Least Common Multiple of 71152 and 71166