What is the Greatest Common Factor of 32886 and 32904?

Greatest common factor (GCF) of 32886 and 32904 is 18.

GCF(32886,32904) = 18

We will now calculate the prime factors of 32886 and 32904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32886 and 32904.

How to find the GCF of 32886 and 32904?

We will first find the prime factorization of 32886 and 32904. After we will calculate the factors of 32886 and 32904 and find the biggest common factor number .

Step-1: Prime Factorization of 32886

Prime factors of 32886 are 2, 3, 7, 29. Prime factorization of 32886 in exponential form is:

32886 = 2¹ × 3⁴ × 7¹ × 29¹

Step-2: Prime Factorization of 32904

Prime factors of 32904 are 2, 3, 457. Prime factorization of 32904 in exponential form is:

32904 = 2³ × 3² × 457¹

Step-3: Factors of 32886

List of positive integer factors of 32886 that divides 32886 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 81, 87, 126, 162, 174, 189, 203, 261, 378, 406, 522, 567, 609, 783, 1134, 1218, 1566, 1827, 2349, 3654, 4698, 5481, 10962, 16443

Step-4: Factors of 32904

List of positive integer factors of 32904 that divides 32886 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 16452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32886 and 32904. The biggest common factor number is the GCF number.
So the greatest common factor 32886 and 32904 is 18.

Also check out the Least Common Multiple of 32886 and 32904