What is the Greatest Common Factor of 71632 and 71647?

Greatest common factor (GCF) of 71632 and 71647 is 1.

GCF(71632,71647) = 1

We will now calculate the prime factors of 71632 and 71647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71632 and 71647.

How to find the GCF of 71632 and 71647?

We will first find the prime factorization of 71632 and 71647. After we will calculate the factors of 71632 and 71647 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 71647

Prime factors of 71647 are 71647. Prime factorization of 71647 in exponential form is:

71647 = 71647¹

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 71647

List of positive integer factors of 71647 that divides 71632 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71632 and 71647. The biggest common factor number is the GCF number.
So the greatest common factor 71632 and 71647 is 1.

Also check out the Least Common Multiple of 71632 and 71647