What is the Greatest Common Factor of 71216 and 71226?

Greatest common factor (GCF) of 71216 and 71226 is 2.

GCF(71216,71226) = 2

We will now calculate the prime factors of 71216 and 71226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71216 and 71226.

How to find the GCF of 71216 and 71226?

We will first find the prime factorization of 71216 and 71226. After we will calculate the factors of 71216 and 71226 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 71226

Prime factors of 71226 are 2, 3, 1319. Prime factorization of 71226 in exponential form is:

71226 = 2¹ × 3³ × 1319¹

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 71226

List of positive integer factors of 71226 that divides 71216 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1319, 2638, 3957, 7914, 11871, 23742, 35613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71216 and 71226. The biggest common factor number is the GCF number.
So the greatest common factor 71216 and 71226 is 2.

Also check out the Least Common Multiple of 71216 and 71226