What is the Greatest Common Factor of 32050 and 32070?

Greatest common factor (GCF) of 32050 and 32070 is 10.

GCF(32050,32070) = 10

We will now calculate the prime factors of 32050 and 32070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32050 and 32070.

How to find the GCF of 32050 and 32070?

We will first find the prime factorization of 32050 and 32070. After we will calculate the factors of 32050 and 32070 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 32070

Prime factors of 32070 are 2, 3, 5, 1069. Prime factorization of 32070 in exponential form is:

32070 = 2¹ × 3¹ × 5¹ × 1069¹

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 32070

List of positive integer factors of 32070 that divides 32050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1069, 2138, 3207, 5345, 6414, 10690, 16035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32050 and 32070. The biggest common factor number is the GCF number.
So the greatest common factor 32050 and 32070 is 10.

Also check out the Least Common Multiple of 32050 and 32070