What is the Greatest Common Factor of 71164 and 71170?

Greatest common factor (GCF) of 71164 and 71170 is 2.

GCF(71164,71170) = 2

We will now calculate the prime factors of 71164 and 71170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71164 and 71170.

How to find the GCF of 71164 and 71170?

We will first find the prime factorization of 71164 and 71170. After we will calculate the factors of 71164 and 71170 and find the biggest common factor number .

Step-1: Prime Factorization of 71164

Prime factors of 71164 are 2, 17791. Prime factorization of 71164 in exponential form is:

71164 = 2² × 17791¹

Step-2: Prime Factorization of 71170

Prime factors of 71170 are 2, 5, 11, 647. Prime factorization of 71170 in exponential form is:

71170 = 2¹ × 5¹ × 11¹ × 647¹

Step-3: Factors of 71164

List of positive integer factors of 71164 that divides 71164 without a remainder.

1, 2, 4, 17791, 35582

Step-4: Factors of 71170

List of positive integer factors of 71170 that divides 71164 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 647, 1294, 3235, 6470, 7117, 14234, 35585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71164 and 71170. The biggest common factor number is the GCF number.
So the greatest common factor 71164 and 71170 is 2.

Also check out the Least Common Multiple of 71164 and 71170