What is the Greatest Common Factor of 43140 and 43150?

Greatest common factor (GCF) of 43140 and 43150 is 10.

GCF(43140,43150) = 10

We will now calculate the prime factors of 43140 and 43150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43140 and 43150.

How to find the GCF of 43140 and 43150?

We will first find the prime factorization of 43140 and 43150. After we will calculate the factors of 43140 and 43150 and find the biggest common factor number .

Step-1: Prime Factorization of 43140

Prime factors of 43140 are 2, 3, 5, 719. Prime factorization of 43140 in exponential form is:

43140 = 2² × 3¹ × 5¹ × 719¹

Step-2: Prime Factorization of 43150

Prime factors of 43150 are 2, 5, 863. Prime factorization of 43150 in exponential form is:

43150 = 2¹ × 5² × 863¹

Step-3: Factors of 43140

List of positive integer factors of 43140 that divides 43140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 719, 1438, 2157, 2876, 3595, 4314, 7190, 8628, 10785, 14380, 21570

Step-4: Factors of 43150

List of positive integer factors of 43150 that divides 43140 without a remainder.

1, 2, 5, 10, 25, 50, 863, 1726, 4315, 8630, 21575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43140 and 43150. The biggest common factor number is the GCF number.
So the greatest common factor 43140 and 43150 is 10.

Also check out the Least Common Multiple of 43140 and 43150