What is the Greatest Common Factor of 32054 and 32072?

Greatest common factor (GCF) of 32054 and 32072 is 2.

GCF(32054,32072) = 2

We will now calculate the prime factors of 32054 and 32072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32054 and 32072.

How to find the GCF of 32054 and 32072?

We will first find the prime factorization of 32054 and 32072. After we will calculate the factors of 32054 and 32072 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 32072

Prime factors of 32072 are 2, 19, 211. Prime factorization of 32072 in exponential form is:

32072 = 2³ × 19¹ × 211¹

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 32072

List of positive integer factors of 32072 that divides 32054 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 211, 422, 844, 1688, 4009, 8018, 16036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32054 and 32072. The biggest common factor number is the GCF number.
So the greatest common factor 32054 and 32072 is 2.

Also check out the Least Common Multiple of 32054 and 32072