What is the Greatest Common Factor of 32850 and 32870?

Greatest common factor (GCF) of 32850 and 32870 is 10.

GCF(32850,32870) = 10

We will now calculate the prime factors of 32850 and 32870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32850 and 32870.

How to find the GCF of 32850 and 32870?

We will first find the prime factorization of 32850 and 32870. After we will calculate the factors of 32850 and 32870 and find the biggest common factor number .

Step-1: Prime Factorization of 32850

Prime factors of 32850 are 2, 3, 5, 73. Prime factorization of 32850 in exponential form is:

32850 = 2¹ × 3² × 5² × 73¹

Step-2: Prime Factorization of 32870

Prime factors of 32870 are 2, 5, 19, 173. Prime factorization of 32870 in exponential form is:

32870 = 2¹ × 5¹ × 19¹ × 173¹

Step-3: Factors of 32850

List of positive integer factors of 32850 that divides 32850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 73, 75, 90, 146, 150, 219, 225, 365, 438, 450, 657, 730, 1095, 1314, 1825, 2190, 3285, 3650, 5475, 6570, 10950, 16425

Step-4: Factors of 32870

List of positive integer factors of 32870 that divides 32850 without a remainder.

1, 2, 5, 10, 19, 38, 95, 173, 190, 346, 865, 1730, 3287, 6574, 16435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32850 and 32870. The biggest common factor number is the GCF number.
So the greatest common factor 32850 and 32870 is 10.

Also check out the Least Common Multiple of 32850 and 32870