What is the Greatest Common Factor of 96090 and 96100?

Greatest common factor (GCF) of 96090 and 96100 is 10.

GCF(96090,96100) = 10

We will now calculate the prime factors of 96090 and 96100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96090 and 96100.

How to find the GCF of 96090 and 96100?

We will first find the prime factorization of 96090 and 96100. After we will calculate the factors of 96090 and 96100 and find the biggest common factor number .

Step-1: Prime Factorization of 96090

Prime factors of 96090 are 2, 3, 5, 3203. Prime factorization of 96090 in exponential form is:

96090 = 2¹ × 3¹ × 5¹ × 3203¹

Step-2: Prime Factorization of 96100

Prime factors of 96100 are 2, 5, 31. Prime factorization of 96100 in exponential form is:

96100 = 2² × 5² × 31²

Step-3: Factors of 96090

List of positive integer factors of 96090 that divides 96090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3203, 6406, 9609, 16015, 19218, 32030, 48045

Step-4: Factors of 96100

List of positive integer factors of 96100 that divides 96090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 961, 1550, 1922, 3100, 3844, 4805, 9610, 19220, 24025, 48050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96090 and 96100. The biggest common factor number is the GCF number.
So the greatest common factor 96090 and 96100 is 10.

Also check out the Least Common Multiple of 96090 and 96100