What is the Greatest Common Factor of 86812 and 86832?

Greatest common factor (GCF) of 86812 and 86832 is 4.

GCF(86812,86832) = 4

We will now calculate the prime factors of 86812 and 86832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86812 and 86832.

How to find the GCF of 86812 and 86832?

We will first find the prime factorization of 86812 and 86832. After we will calculate the factors of 86812 and 86832 and find the biggest common factor number .

Step-1: Prime Factorization of 86812

Prime factors of 86812 are 2, 11, 1973. Prime factorization of 86812 in exponential form is:

86812 = 2² × 11¹ × 1973¹

Step-2: 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-3: Factors of 86812

List of positive integer factors of 86812 that divides 86812 without a remainder.

1, 2, 4, 11, 22, 44, 1973, 3946, 7892, 21703, 43406

Step-4: Factors of 86832

List of positive integer factors of 86832 that divides 86812 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86812 and 86832. The biggest common factor number is the GCF number.
So the greatest common factor 86812 and 86832 is 4.

Also check out the Least Common Multiple of 86812 and 86832