What is the Greatest Common Factor of 32050 and 32054?

Greatest common factor (GCF) of 32050 and 32054 is 2.

GCF(32050,32054) = 2

We will now calculate the prime factors of 32050 and 32054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32050 and 32054.

How to find the GCF of 32050 and 32054?

We will first find the prime factorization of 32050 and 32054. After we will calculate the factors of 32050 and 32054 and find the biggest common factor number .

Step-1: Prime Factorization of 32050

Prime factors of 32050 are 2, 5, 641. Prime factorization of 32050 in exponential form is:

32050 = 2¹ × 5² × 641¹

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 32050

List of positive integer factors of 32050 that divides 32050 without a remainder.

1, 2, 5, 10, 25, 50, 641, 1282, 3205, 6410, 16025

Step-4: Factors of 32054

List of positive integer factors of 32054 that divides 32050 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 32050 and 32054. The biggest common factor number is the GCF number.
So the greatest common factor 32050 and 32054 is 2.

Also check out the Least Common Multiple of 32050 and 32054