What is the Greatest Common Factor of 71216 and 71228?

Greatest common factor (GCF) of 71216 and 71228 is 4.

GCF(71216,71228) = 4

We will now calculate the prime factors of 71216 and 71228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71216 and 71228.

How to find the GCF of 71216 and 71228?

We will first find the prime factorization of 71216 and 71228. After we will calculate the factors of 71216 and 71228 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 71228

Prime factors of 71228 are 2, 17807. Prime factorization of 71228 in exponential form is:

71228 = 2² × 17807¹

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 71228

List of positive integer factors of 71228 that divides 71216 without a remainder.

1, 2, 4, 17807, 35614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71216 and 71228. The biggest common factor number is the GCF number.
So the greatest common factor 71216 and 71228 is 4.

Also check out the Least Common Multiple of 71216 and 71228