What is the Greatest Common Factor of 71625 and 71632?

Greatest common factor (GCF) of 71625 and 71632 is 1.

GCF(71625,71632) = 1

We will now calculate the prime factors of 71625 and 71632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71625 and 71632.

How to find the GCF of 71625 and 71632?

We will first find the prime factorization of 71625 and 71632. After we will calculate the factors of 71625 and 71632 and find the biggest common factor number .

Step-1: Prime Factorization of 71625

Prime factors of 71625 are 3, 5, 191. Prime factorization of 71625 in exponential form is:

71625 = 3¹ × 5³ × 191¹

Step-2: 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-3: Factors of 71625

List of positive integer factors of 71625 that divides 71625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 191, 375, 573, 955, 2865, 4775, 14325, 23875

Step-4: Factors of 71632

List of positive integer factors of 71632 that divides 71625 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71625 and 71632. The biggest common factor number is the GCF number.
So the greatest common factor 71625 and 71632 is 1.

Also check out the Least Common Multiple of 71625 and 71632