What is the Greatest Common Factor of 90032 and 90047?

Greatest common factor (GCF) of 90032 and 90047 is 1.

GCF(90032,90047) = 1

We will now calculate the prime factors of 90032 and 90047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90032 and 90047.

How to find the GCF of 90032 and 90047?

We will first find the prime factorization of 90032 and 90047. After we will calculate the factors of 90032 and 90047 and find the biggest common factor number .

Step-1: Prime Factorization of 90032

Prime factors of 90032 are 2, 17, 331. Prime factorization of 90032 in exponential form is:

90032 = 2⁴ × 17¹ × 331¹

Step-2: Prime Factorization of 90047

Prime factors of 90047 are 53, 1699. Prime factorization of 90047 in exponential form is:

90047 = 53¹ × 1699¹

Step-3: Factors of 90032

List of positive integer factors of 90032 that divides 90032 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 331, 662, 1324, 2648, 5296, 5627, 11254, 22508, 45016

Step-4: Factors of 90047

List of positive integer factors of 90047 that divides 90032 without a remainder.

1, 53, 1699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90032 and 90047. The biggest common factor number is the GCF number.
So the greatest common factor 90032 and 90047 is 1.

Also check out the Least Common Multiple of 90032 and 90047