What is the Greatest Common Factor of 90150 and 90155?

Greatest common factor (GCF) of 90150 and 90155 is 5.

GCF(90150,90155) = 5

We will now calculate the prime factors of 90150 and 90155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90150 and 90155.

How to find the GCF of 90150 and 90155?

We will first find the prime factorization of 90150 and 90155. After we will calculate the factors of 90150 and 90155 and find the biggest common factor number .

Step-1: Prime Factorization of 90150

Prime factors of 90150 are 2, 3, 5, 601. Prime factorization of 90150 in exponential form is:

90150 = 2¹ × 3¹ × 5² × 601¹

Step-2: Prime Factorization of 90155

Prime factors of 90155 are 5, 13, 19, 73. Prime factorization of 90155 in exponential form is:

90155 = 5¹ × 13¹ × 19¹ × 73¹

Step-3: Factors of 90150

List of positive integer factors of 90150 that divides 90150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 601, 1202, 1803, 3005, 3606, 6010, 9015, 15025, 18030, 30050, 45075

Step-4: Factors of 90155

List of positive integer factors of 90155 that divides 90150 without a remainder.

1, 5, 13, 19, 65, 73, 95, 247, 365, 949, 1235, 1387, 4745, 6935, 18031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90150 and 90155. The biggest common factor number is the GCF number.
So the greatest common factor 90150 and 90155 is 5.

Also check out the Least Common Multiple of 90150 and 90155