What is the Greatest Common Factor of 96282 and 96300?

Greatest common factor (GCF) of 96282 and 96300 is 18.

GCF(96282,96300) = 18

We will now calculate the prime factors of 96282 and 96300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96282 and 96300.

How to find the GCF of 96282 and 96300?

We will first find the prime factorization of 96282 and 96300. After we will calculate the factors of 96282 and 96300 and find the biggest common factor number .

Step-1: Prime Factorization of 96282

Prime factors of 96282 are 2, 3, 1783. Prime factorization of 96282 in exponential form is:

96282 = 2¹ × 3³ × 1783¹

Step-2: Prime Factorization of 96300

Prime factors of 96300 are 2, 3, 5, 107. Prime factorization of 96300 in exponential form is:

96300 = 2² × 3² × 5² × 107¹

Step-3: Factors of 96282

List of positive integer factors of 96282 that divides 96282 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1783, 3566, 5349, 10698, 16047, 32094, 48141

Step-4: Factors of 96300

List of positive integer factors of 96300 that divides 96282 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 107, 150, 180, 214, 225, 300, 321, 428, 450, 535, 642, 900, 963, 1070, 1284, 1605, 1926, 2140, 2675, 3210, 3852, 4815, 5350, 6420, 8025, 9630, 10700, 16050, 19260, 24075, 32100, 48150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96282 and 96300. The biggest common factor number is the GCF number.
So the greatest common factor 96282 and 96300 is 18.

Also check out the Least Common Multiple of 96282 and 96300