What is the Greatest Common Factor of 32054 and 32065?

Greatest common factor (GCF) of 32054 and 32065 is 11.

GCF(32054,32065) = 11

We will now calculate the prime factors of 32054 and 32065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32054 and 32065.

How to find the GCF of 32054 and 32065?

We will first find the prime factorization of 32054 and 32065. After we will calculate the factors of 32054 and 32065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32065

Prime factors of 32065 are 5, 11, 53. Prime factorization of 32065 in exponential form is:

32065 = 5¹ × 11² × 53¹

Step-3: Factors of 32054

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

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

Step-4: Factors of 32065

List of positive integer factors of 32065 that divides 32054 without a remainder.

1, 5, 11, 53, 55, 121, 265, 583, 605, 2915, 6413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32054 and 32065. The biggest common factor number is the GCF number.
So the greatest common factor 32054 and 32065 is 11.

Also check out the Least Common Multiple of 32054 and 32065