What is the Greatest Common Factor of 9150 and 9170?

Greatest common factor (GCF) of 9150 and 9170 is 10.

GCF(9150,9170) = 10

We will now calculate the prime factors of 9150 and 9170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9150 and 9170.

How to find the GCF of 9150 and 9170?

We will first find the prime factorization of 9150 and 9170. After we will calculate the factors of 9150 and 9170 and find the biggest common factor number .

Step-1: Prime Factorization of 9150

Prime factors of 9150 are 2, 3, 5, 61. Prime factorization of 9150 in exponential form is:

9150 = 2¹ × 3¹ × 5² × 61¹

Step-2: Prime Factorization of 9170

Prime factors of 9170 are 2, 5, 7, 131. Prime factorization of 9170 in exponential form is:

9170 = 2¹ × 5¹ × 7¹ × 131¹

Step-3: Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575

Step-4: Factors of 9170

List of positive integer factors of 9170 that divides 9150 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9150 and 9170. The biggest common factor number is the GCF number.
So the greatest common factor 9150 and 9170 is 10.

Also check out the Least Common Multiple of 9150 and 9170