What is the Greatest Common Factor of 71162 and 71180?

Greatest common factor (GCF) of 71162 and 71180 is 2.

GCF(71162,71180) = 2

We will now calculate the prime factors of 71162 and 71180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71162 and 71180.

How to find the GCF of 71162 and 71180?

We will first find the prime factorization of 71162 and 71180. After we will calculate the factors of 71162 and 71180 and find the biggest common factor number .

Step-1: Prime Factorization of 71162

Prime factors of 71162 are 2, 7, 13, 17, 23. Prime factorization of 71162 in exponential form is:

71162 = 2¹ × 7¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 71180

Prime factors of 71180 are 2, 5, 3559. Prime factorization of 71180 in exponential form is:

71180 = 2² × 5¹ × 3559¹

Step-3: Factors of 71162

List of positive integer factors of 71162 that divides 71162 without a remainder.

1, 2, 7, 13, 14, 17, 23, 26, 34, 46, 91, 119, 161, 182, 221, 238, 299, 322, 391, 442, 598, 782, 1547, 2093, 2737, 3094, 4186, 5083, 5474, 10166, 35581

Step-4: Factors of 71180

List of positive integer factors of 71180 that divides 71162 without a remainder.

1, 2, 4, 5, 10, 20, 3559, 7118, 14236, 17795, 35590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71162 and 71180. The biggest common factor number is the GCF number.
So the greatest common factor 71162 and 71180 is 2.

Also check out the Least Common Multiple of 71162 and 71180