What is the Greatest Common Factor of 90100 and 90110?

Greatest common factor (GCF) of 90100 and 90110 is 10.

GCF(90100,90110) = 10

We will now calculate the prime factors of 90100 and 90110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90100 and 90110.

How to find the GCF of 90100 and 90110?

We will first find the prime factorization of 90100 and 90110. After we will calculate the factors of 90100 and 90110 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 90110

Prime factors of 90110 are 2, 5, 9011. Prime factorization of 90110 in exponential form is:

90110 = 2¹ × 5¹ × 9011¹

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 90110

List of positive integer factors of 90110 that divides 90100 without a remainder.

1, 2, 5, 10, 9011, 18022, 45055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90100 and 90110. The biggest common factor number is the GCF number.
So the greatest common factor 90100 and 90110 is 10.

Also check out the Least Common Multiple of 90100 and 90110