What is the Greatest Common Factor of 32850 and 32868?

Greatest common factor (GCF) of 32850 and 32868 is 18.

GCF(32850,32868) = 18

We will now calculate the prime factors of 32850 and 32868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32850 and 32868.

How to find the GCF of 32850 and 32868?

We will first find the prime factorization of 32850 and 32868. After we will calculate the factors of 32850 and 32868 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 32868

Prime factors of 32868 are 2, 3, 11, 83. Prime factorization of 32868 in exponential form is:

32868 = 2² × 3² × 11¹ × 83¹

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 32868

List of positive integer factors of 32868 that divides 32850 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 83, 99, 132, 166, 198, 249, 332, 396, 498, 747, 913, 996, 1494, 1826, 2739, 2988, 3652, 5478, 8217, 10956, 16434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32850 and 32868. The biggest common factor number is the GCF number.
So the greatest common factor 32850 and 32868 is 18.

Also check out the Least Common Multiple of 32850 and 32868