What is the Greatest Common Factor of 96147 and 96162?

Greatest common factor (GCF) of 96147 and 96162 is 3.

GCF(96147,96162) = 3

We will now calculate the prime factors of 96147 and 96162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96147 and 96162.

How to find the GCF of 96147 and 96162?

We will first find the prime factorization of 96147 and 96162. After we will calculate the factors of 96147 and 96162 and find the biggest common factor number .

Step-1: Prime Factorization of 96147

Prime factors of 96147 are 3, 1187. Prime factorization of 96147 in exponential form is:

96147 = 3⁴ × 1187¹

Step-2: Prime Factorization of 96162

Prime factors of 96162 are 2, 3, 11, 31, 47. Prime factorization of 96162 in exponential form is:

96162 = 2¹ × 3¹ × 11¹ × 31¹ × 47¹

Step-3: Factors of 96147

List of positive integer factors of 96147 that divides 96147 without a remainder.

1, 3, 9, 27, 81, 1187, 3561, 10683, 32049

Step-4: Factors of 96162

List of positive integer factors of 96162 that divides 96147 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 47, 62, 66, 93, 94, 141, 186, 282, 341, 517, 682, 1023, 1034, 1457, 1551, 2046, 2914, 3102, 4371, 8742, 16027, 32054, 48081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96147 and 96162. The biggest common factor number is the GCF number.
So the greatest common factor 96147 and 96162 is 3.

Also check out the Least Common Multiple of 96147 and 96162