What is the Greatest Common Factor of 71200 and 71216?

Greatest common factor (GCF) of 71200 and 71216 is 16.

GCF(71200,71216) = 16

We will now calculate the prime factors of 71200 and 71216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71200 and 71216.

How to find the GCF of 71200 and 71216?

We will first find the prime factorization of 71200 and 71216. After we will calculate the factors of 71200 and 71216 and find the biggest common factor number .

Step-1: Prime Factorization of 71200

Prime factors of 71200 are 2, 5, 89. Prime factorization of 71200 in exponential form is:

71200 = 2⁵ × 5² × 89¹

Step-2: Prime Factorization of 71216

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

71216 = 2⁴ × 4451¹

Step-3: Factors of 71200

List of positive integer factors of 71200 that divides 71200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 89, 100, 160, 178, 200, 356, 400, 445, 712, 800, 890, 1424, 1780, 2225, 2848, 3560, 4450, 7120, 8900, 14240, 17800, 35600

Step-4: Factors of 71216

List of positive integer factors of 71216 that divides 71200 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71200 and 71216. The biggest common factor number is the GCF number.
So the greatest common factor 71200 and 71216 is 16.

Also check out the Least Common Multiple of 71200 and 71216