What is the Greatest Common Factor of 32050 and 32062?

Greatest common factor (GCF) of 32050 and 32062 is 2.

GCF(32050,32062) = 2

We will now calculate the prime factors of 32050 and 32062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32050 and 32062.

How to find the GCF of 32050 and 32062?

We will first find the prime factorization of 32050 and 32062. After we will calculate the factors of 32050 and 32062 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 32062

Prime factors of 32062 are 2, 17, 23, 41. Prime factorization of 32062 in exponential form is:

32062 = 2¹ × 17¹ × 23¹ × 41¹

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 32062

List of positive integer factors of 32062 that divides 32050 without a remainder.

1, 2, 17, 23, 34, 41, 46, 82, 391, 697, 782, 943, 1394, 1886, 16031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32050 and 32062. The biggest common factor number is the GCF number.
So the greatest common factor 32050 and 32062 is 2.

Also check out the Least Common Multiple of 32050 and 32062