What is the Greatest Common Factor of 71216 and 71230?

Greatest common factor (GCF) of 71216 and 71230 is 2.

GCF(71216,71230) = 2

We will now calculate the prime factors of 71216 and 71230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71216 and 71230.

How to find the GCF of 71216 and 71230?

We will first find the prime factorization of 71216 and 71230. After we will calculate the factors of 71216 and 71230 and find the biggest common factor number .

Step-1: Prime Factorization of 71216

Prime factors of 71216 are 2, 4451. Prime factorization of 71216 in exponential form is:

71216 = 2⁴ × 4451¹

Step-2: Prime Factorization of 71230

Prime factors of 71230 are 2, 5, 17, 419. Prime factorization of 71230 in exponential form is:

71230 = 2¹ × 5¹ × 17¹ × 419¹

Step-3: Factors of 71216

List of positive integer factors of 71216 that divides 71216 without a remainder.

1, 2, 4, 8, 16, 4451, 8902, 17804, 35608

Step-4: Factors of 71230

List of positive integer factors of 71230 that divides 71216 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 419, 838, 2095, 4190, 7123, 14246, 35615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71216 and 71230. The biggest common factor number is the GCF number.
So the greatest common factor 71216 and 71230 is 2.

Also check out the Least Common Multiple of 71216 and 71230