What is the Greatest Common Factor of 71308 and 71312?

Greatest common factor (GCF) of 71308 and 71312 is 4.

GCF(71308,71312) = 4

We will now calculate the prime factors of 71308 and 71312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71308 and 71312.

How to find the GCF of 71308 and 71312?

We will first find the prime factorization of 71308 and 71312. After we will calculate the factors of 71308 and 71312 and find the biggest common factor number .

Step-1: Prime Factorization of 71308

Prime factors of 71308 are 2, 17827. Prime factorization of 71308 in exponential form is:

71308 = 2² × 17827¹

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 71308

List of positive integer factors of 71308 that divides 71308 without a remainder.

1, 2, 4, 17827, 35654

Step-4: Factors of 71312

List of positive integer factors of 71312 that divides 71308 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 71308 and 71312. The biggest common factor number is the GCF number.
So the greatest common factor 71308 and 71312 is 4.

Also check out the Least Common Multiple of 71308 and 71312