What is the Greatest Common Factor of 9130 and 9140?

Greatest common factor (GCF) of 9130 and 9140 is 10.

GCF(9130,9140) = 10

We will now calculate the prime factors of 9130 and 9140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9130 and 9140.

How to find the GCF of 9130 and 9140?

We will first find the prime factorization of 9130 and 9140. After we will calculate the factors of 9130 and 9140 and find the biggest common factor number .

Step-1: Prime Factorization of 9130

Prime factors of 9130 are 2, 5, 11, 83. Prime factorization of 9130 in exponential form is:

9130 = 2¹ × 5¹ × 11¹ × 83¹

Step-2: 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-3: Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565

Step-4: Factors of 9140

List of positive integer factors of 9140 that divides 9130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9130 and 9140. The biggest common factor number is the GCF number.
So the greatest common factor 9130 and 9140 is 10.

Also check out the Least Common Multiple of 9130 and 9140