What is the Greatest Common Factor of 71306 and 71312?

Greatest common factor (GCF) of 71306 and 71312 is 2.

GCF(71306,71312) = 2

We will now calculate the prime factors of 71306 and 71312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71306 and 71312.

How to find the GCF of 71306 and 71312?

We will first find the prime factorization of 71306 and 71312. After we will calculate the factors of 71306 and 71312 and find the biggest common factor number .

Step-1: Prime Factorization of 71306

Prime factors of 71306 are 2, 101, 353. Prime factorization of 71306 in exponential form is:

71306 = 2¹ × 101¹ × 353¹

Step-2: Prime Factorization of 71312

Prime factors of 71312 are 2, 4457. Prime factorization of 71312 in exponential form is:

71312 = 2⁴ × 4457¹

Step-3: Factors of 71306

List of positive integer factors of 71306 that divides 71306 without a remainder.

1, 2, 101, 202, 353, 706, 35653

Step-4: Factors of 71312

List of positive integer factors of 71312 that divides 71306 without a remainder.

1, 2, 4, 8, 16, 4457, 8914, 17828, 35656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71306 and 71312. The biggest common factor number is the GCF number.
So the greatest common factor 71306 and 71312 is 2.

Also check out the Least Common Multiple of 71306 and 71312