What is the Greatest Common Factor of 90112 and 90117?

Greatest common factor (GCF) of 90112 and 90117 is 1.

GCF(90112,90117) = 1

We will now calculate the prime factors of 90112 and 90117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90112 and 90117.

How to find the GCF of 90112 and 90117?

We will first find the prime factorization of 90112 and 90117. After we will calculate the factors of 90112 and 90117 and find the biggest common factor number .

Step-1: Prime Factorization of 90112

Prime factors of 90112 are 2, 11. Prime factorization of 90112 in exponential form is:

90112 = 2¹³ × 11¹

Step-2: Prime Factorization of 90117

Prime factors of 90117 are 3, 17, 19, 31. Prime factorization of 90117 in exponential form is:

90117 = 3² × 17¹ × 19¹ × 31¹

Step-3: Factors of 90112

List of positive integer factors of 90112 that divides 90112 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2048, 2816, 4096, 5632, 8192, 11264, 22528, 45056

Step-4: Factors of 90117

List of positive integer factors of 90117 that divides 90112 without a remainder.

1, 3, 9, 17, 19, 31, 51, 57, 93, 153, 171, 279, 323, 527, 589, 969, 1581, 1767, 2907, 4743, 5301, 10013, 30039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90112 and 90117. The biggest common factor number is the GCF number.
So the greatest common factor 90112 and 90117 is 1.

Also check out the Least Common Multiple of 90112 and 90117