What is the Greatest Common Factor of 96150 and 96162?

Greatest common factor (GCF) of 96150 and 96162 is 6.

GCF(96150,96162) = 6

We will now calculate the prime factors of 96150 and 96162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96150 and 96162.

How to find the GCF of 96150 and 96162?

We will first find the prime factorization of 96150 and 96162. After we will calculate the factors of 96150 and 96162 and find the biggest common factor number .

Step-1: Prime Factorization of 96150

Prime factors of 96150 are 2, 3, 5, 641. Prime factorization of 96150 in exponential form is:

96150 = 2¹ × 3¹ × 5² × 641¹

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 96150

List of positive integer factors of 96150 that divides 96150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 641, 1282, 1923, 3205, 3846, 6410, 9615, 16025, 19230, 32050, 48075

Step-4: Factors of 96162

List of positive integer factors of 96162 that divides 96150 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 96150 and 96162. The biggest common factor number is the GCF number.
So the greatest common factor 96150 and 96162 is 6.

Also check out the Least Common Multiple of 96150 and 96162