What is the Greatest Common Factor of 90100 and 90116?

Greatest common factor (GCF) of 90100 and 90116 is 4.

GCF(90100,90116) = 4

We will now calculate the prime factors of 90100 and 90116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90100 and 90116.

How to find the GCF of 90100 and 90116?

We will first find the prime factorization of 90100 and 90116. After we will calculate the factors of 90100 and 90116 and find the biggest common factor number .

Step-1: Prime Factorization of 90100

Prime factors of 90100 are 2, 5, 17, 53. Prime factorization of 90100 in exponential form is:

90100 = 2² × 5² × 17¹ × 53¹

Step-2: Prime Factorization of 90116

Prime factors of 90116 are 2, 13, 1733. Prime factorization of 90116 in exponential form is:

90116 = 2² × 13¹ × 1733¹

Step-3: Factors of 90100

List of positive integer factors of 90100 that divides 90100 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 53, 68, 85, 100, 106, 170, 212, 265, 340, 425, 530, 850, 901, 1060, 1325, 1700, 1802, 2650, 3604, 4505, 5300, 9010, 18020, 22525, 45050

Step-4: Factors of 90116

List of positive integer factors of 90116 that divides 90100 without a remainder.

1, 2, 4, 13, 26, 52, 1733, 3466, 6932, 22529, 45058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90100 and 90116. The biggest common factor number is the GCF number.
So the greatest common factor 90100 and 90116 is 4.

Also check out the Least Common Multiple of 90100 and 90116