What is the Greatest Common Factor of 32850 and 32864?

Greatest common factor (GCF) of 32850 and 32864 is 2.

GCF(32850,32864) = 2

We will now calculate the prime factors of 32850 and 32864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32850 and 32864.

How to find the GCF of 32850 and 32864?

We will first find the prime factorization of 32850 and 32864. After we will calculate the factors of 32850 and 32864 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 32864

Prime factors of 32864 are 2, 13, 79. Prime factorization of 32864 in exponential form is:

32864 = 2⁵ × 13¹ × 79¹

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 32864

List of positive integer factors of 32864 that divides 32850 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 79, 104, 158, 208, 316, 416, 632, 1027, 1264, 2054, 2528, 4108, 8216, 16432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32850 and 32864. The biggest common factor number is the GCF number.
So the greatest common factor 32850 and 32864 is 2.

Also check out the Least Common Multiple of 32850 and 32864