What is the Greatest Common Factor of 32024 and 32043?

Greatest common factor (GCF) of 32024 and 32043 is 1.

GCF(32024,32043) = 1

We will now calculate the prime factors of 32024 and 32043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32024 and 32043.

How to find the GCF of 32024 and 32043?

We will first find the prime factorization of 32024 and 32043. After we will calculate the factors of 32024 and 32043 and find the biggest common factor number .

Step-1: Prime Factorization of 32024

Prime factors of 32024 are 2, 4003. Prime factorization of 32024 in exponential form is:

32024 = 2³ × 4003¹

Step-2: Prime Factorization of 32043

Prime factors of 32043 are 3, 11, 971. Prime factorization of 32043 in exponential form is:

32043 = 3¹ × 11¹ × 971¹

Step-3: Factors of 32024

List of positive integer factors of 32024 that divides 32024 without a remainder.

1, 2, 4, 8, 4003, 8006, 16012

Step-4: Factors of 32043

List of positive integer factors of 32043 that divides 32024 without a remainder.

1, 3, 11, 33, 971, 2913, 10681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32024 and 32043. The biggest common factor number is the GCF number.
So the greatest common factor 32024 and 32043 is 1.

Also check out the Least Common Multiple of 32024 and 32043