What is the Greatest Common Factor of 96100 and 96106?

Greatest common factor (GCF) of 96100 and 96106 is 2.

GCF(96100,96106) = 2

We will now calculate the prime factors of 96100 and 96106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96100 and 96106.

How to find the GCF of 96100 and 96106?

We will first find the prime factorization of 96100 and 96106. After we will calculate the factors of 96100 and 96106 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96106

Prime factors of 96106 are 2, 29, 1657. Prime factorization of 96106 in exponential form is:

96106 = 2¹ × 29¹ × 1657¹

Step-3: Factors of 96100

List of positive integer factors of 96100 that divides 96100 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

Step-4: Factors of 96106

List of positive integer factors of 96106 that divides 96100 without a remainder.

1, 2, 29, 58, 1657, 3314, 48053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96100 and 96106. The biggest common factor number is the GCF number.
So the greatest common factor 96100 and 96106 is 2.

Also check out the Least Common Multiple of 96100 and 96106