What is the Greatest Common Factor of 71216 and 71232?

Greatest common factor (GCF) of 71216 and 71232 is 16.

GCF(71216,71232) = 16

We will now calculate the prime factors of 71216 and 71232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71216 and 71232.

How to find the GCF of 71216 and 71232?

We will first find the prime factorization of 71216 and 71232. After we will calculate the factors of 71216 and 71232 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 71232

Prime factors of 71232 are 2, 3, 7, 53. Prime factorization of 71232 in exponential form is:

71232 = 2⁶ × 3¹ × 7¹ × 53¹

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 71232

List of positive integer factors of 71232 that divides 71216 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 53, 56, 64, 84, 96, 106, 112, 159, 168, 192, 212, 224, 318, 336, 371, 424, 448, 636, 672, 742, 848, 1113, 1272, 1344, 1484, 1696, 2226, 2544, 2968, 3392, 4452, 5088, 5936, 8904, 10176, 11872, 17808, 23744, 35616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71216 and 71232. The biggest common factor number is the GCF number.
So the greatest common factor 71216 and 71232 is 16.

Also check out the Least Common Multiple of 71216 and 71232