What is the Greatest Common Factor of 32043 and 32054?

Greatest common factor (GCF) of 32043 and 32054 is 11.

GCF(32043,32054) = 11

We will now calculate the prime factors of 32043 and 32054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32043 and 32054.

How to find the GCF of 32043 and 32054?

We will first find the prime factorization of 32043 and 32054. After we will calculate the factors of 32043 and 32054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32054

Prime factors of 32054 are 2, 11, 31, 47. Prime factorization of 32054 in exponential form is:

32054 = 2¹ × 11¹ × 31¹ × 47¹

Step-3: Factors of 32043

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

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

Step-4: Factors of 32054

List of positive integer factors of 32054 that divides 32043 without a remainder.

1, 2, 11, 22, 31, 47, 62, 94, 341, 517, 682, 1034, 1457, 2914, 16027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32043 and 32054. The biggest common factor number is the GCF number.
So the greatest common factor 32043 and 32054 is 11.

Also check out the Least Common Multiple of 32043 and 32054