What is the Greatest Common Factor of 71632 and 71648?

Greatest common factor (GCF) of 71632 and 71648 is 16.

GCF(71632,71648) = 16

We will now calculate the prime factors of 71632 and 71648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71632 and 71648.

How to find the GCF of 71632 and 71648?

We will first find the prime factorization of 71632 and 71648. After we will calculate the factors of 71632 and 71648 and find the biggest common factor number .

Step-1: Prime Factorization of 71632

Prime factors of 71632 are 2, 11, 37. Prime factorization of 71632 in exponential form is:

71632 = 2⁴ × 11² × 37¹

Step-2: Prime Factorization of 71648

Prime factors of 71648 are 2, 2239. Prime factorization of 71648 in exponential form is:

71648 = 2⁵ × 2239¹

Step-3: Factors of 71632

List of positive integer factors of 71632 that divides 71632 without a remainder.

1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 121, 148, 176, 242, 296, 407, 484, 592, 814, 968, 1628, 1936, 3256, 4477, 6512, 8954, 17908, 35816

Step-4: Factors of 71648

List of positive integer factors of 71648 that divides 71632 without a remainder.

1, 2, 4, 8, 16, 32, 2239, 4478, 8956, 17912, 35824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71632 and 71648. The biggest common factor number is the GCF number.
So the greatest common factor 71632 and 71648 is 16.

Also check out the Least Common Multiple of 71632 and 71648