What is the Greatest Common Factor of 86832 and 86847?

Greatest common factor (GCF) of 86832 and 86847 is 3.

GCF(86832,86847) = 3

We will now calculate the prime factors of 86832 and 86847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86832 and 86847.

How to find the GCF of 86832 and 86847?

We will first find the prime factorization of 86832 and 86847. After we will calculate the factors of 86832 and 86847 and find the biggest common factor number .

Step-1: Prime Factorization of 86832

Prime factors of 86832 are 2, 3, 67. Prime factorization of 86832 in exponential form is:

86832 = 2⁴ × 3⁴ × 67¹

Step-2: Prime Factorization of 86847

Prime factors of 86847 are 3, 28949. Prime factorization of 86847 in exponential form is:

86847 = 3¹ × 28949¹

Step-3: Factors of 86832

List of positive integer factors of 86832 that divides 86832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 67, 72, 81, 108, 134, 144, 162, 201, 216, 268, 324, 402, 432, 536, 603, 648, 804, 1072, 1206, 1296, 1608, 1809, 2412, 3216, 3618, 4824, 5427, 7236, 9648, 10854, 14472, 21708, 28944, 43416

Step-4: Factors of 86847

List of positive integer factors of 86847 that divides 86832 without a remainder.

1, 3, 28949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86832 and 86847. The biggest common factor number is the GCF number.
So the greatest common factor 86832 and 86847 is 3.

Also check out the Least Common Multiple of 86832 and 86847