What is the Greatest Common Factor of 9140 and 9150?

Greatest common factor (GCF) of 9140 and 9150 is 10.

GCF(9140,9150) = 10

We will now calculate the prime factors of 9140 and 9150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9140 and 9150.

How to find the GCF of 9140 and 9150?

We will first find the prime factorization of 9140 and 9150. After we will calculate the factors of 9140 and 9150 and find the biggest common factor number .

Step-1: Prime Factorization of 9140

Prime factors of 9140 are 2, 5, 457. Prime factorization of 9140 in exponential form is:

9140 = 2² × 5¹ × 457¹

Step-2: 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-3: Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570

Step-4: Factors of 9150

List of positive integer factors of 9150 that divides 9140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9140 and 9150. The biggest common factor number is the GCF number.
So the greatest common factor 9140 and 9150 is 10.

Also check out the Least Common Multiple of 9140 and 9150