What is the Greatest Common Factor of 32886 and 32895?

Greatest common factor (GCF) of 32886 and 32895 is 9.

GCF(32886,32895) = 9

We will now calculate the prime factors of 32886 and 32895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32886 and 32895.

How to find the GCF of 32886 and 32895?

We will first find the prime factorization of 32886 and 32895. After we will calculate the factors of 32886 and 32895 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 32895

Prime factors of 32895 are 3, 5, 17, 43. Prime factorization of 32895 in exponential form is:

32895 = 3² × 5¹ × 17¹ × 43¹

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 32895

List of positive integer factors of 32895 that divides 32886 without a remainder.

1, 3, 5, 9, 15, 17, 43, 45, 51, 85, 129, 153, 215, 255, 387, 645, 731, 765, 1935, 2193, 3655, 6579, 10965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32886 and 32895. The biggest common factor number is the GCF number.
So the greatest common factor 32886 and 32895 is 9.

Also check out the Least Common Multiple of 32886 and 32895