What is the Greatest Common Factor of 90160 and 90177?

Greatest common factor (GCF) of 90160 and 90177 is 1.

GCF(90160,90177) = 1

We will now calculate the prime factors of 90160 and 90177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90160 and 90177.

How to find the GCF of 90160 and 90177?

We will first find the prime factorization of 90160 and 90177. After we will calculate the factors of 90160 and 90177 and find the biggest common factor number .

Step-1: Prime Factorization of 90160

Prime factors of 90160 are 2, 5, 7, 23. Prime factorization of 90160 in exponential form is:

90160 = 2⁴ × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 90177

Prime factors of 90177 are 3, 30059. Prime factorization of 90177 in exponential form is:

90177 = 3¹ × 30059¹

Step-3: Factors of 90160

List of positive integer factors of 90160 that divides 90160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 35, 40, 46, 49, 56, 70, 80, 92, 98, 112, 115, 140, 161, 184, 196, 230, 245, 280, 322, 368, 392, 460, 490, 560, 644, 784, 805, 920, 980, 1127, 1288, 1610, 1840, 1960, 2254, 2576, 3220, 3920, 4508, 5635, 6440, 9016, 11270, 12880, 18032, 22540, 45080

Step-4: Factors of 90177

List of positive integer factors of 90177 that divides 90160 without a remainder.

1, 3, 30059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90160 and 90177. The biggest common factor number is the GCF number.
So the greatest common factor 90160 and 90177 is 1.

Also check out the Least Common Multiple of 90160 and 90177