What is the Greatest Common Factor of 4140 and 4145?

Greatest common factor (GCF) of 4140 and 4145 is 5.

GCF(4140,4145) = 5

We will now calculate the prime factors of 4140 and 4145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4140 and 4145.

How to find the GCF of 4140 and 4145?

We will first find the prime factorization of 4140 and 4145. After we will calculate the factors of 4140 and 4145 and find the biggest common factor number .

Step-1: Prime Factorization of 4140

Prime factors of 4140 are 2, 3, 5, 23. Prime factorization of 4140 in exponential form is:

4140 = 2² × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 4145

Prime factors of 4145 are 5, 829. Prime factorization of 4145 in exponential form is:

4145 = 5¹ × 829¹

Step-3: Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070

Step-4: Factors of 4145

List of positive integer factors of 4145 that divides 4140 without a remainder.

1, 5, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4140 and 4145. The biggest common factor number is the GCF number.
So the greatest common factor 4140 and 4145 is 5.

Also check out the Least Common Multiple of 4140 and 4145