Greatest Common Factor of 4140 and 4145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4140, 4145 i.e. 5 largest integer by which both the numbers can be divided.

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

GCF(4140,4145) = 5

GCF of 4140 and 4145

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4140 and 4145

GCF of 4140 and 4145 is 5

Prime Factorization of 4140


2 4140
2 2070
3 1035
3 345
5 115
23 23
1

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

4140 = 22×32×51×231

Prime Factorization of 4145


5 4145
829 829
1

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

4145 = 51×8291

∴ So by taking common prime factors GCF of 4140 and 4145 is 5

Greatest Common Factor of 4140 and 4145 by matching factors method

Factors of 4140

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

1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140

Factors of 4145

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

1,5,829,4145

Greatest Common Factor

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

Properties of GCF 4140 and 4145

(i) The GCF of 4140 and 4145 is associative

GCF of 4140 and 4145 = GCF of 4145 and 4140

Related Greatest Common Factor of 4140

Related Greatest Common Factor of 4145

Frequently Asked Questions on GCF of 4140 and 4145

1. What is the GCF of 4140 and 4145?

Answer: GCF of 4140 and 4145 is 5.

2. What are the Factors of 4140?

Answer: Factors of 4140 are 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, 4140. There are 36 integers that are factors of 4140. The greatest factor of 4140 is 4140.

3. What are the Factors of 4145?

Answer: Factors of 4145 are 1, 5, 829, 4145. There are 4 integers that are factors of 4145. The greatest factor of 4145 is 4145.

4. How to Find the GCF of 4140 and 4145?

Answer:

Greatest Common Factor of 4140 and 4145 = 5

Step 1: Find the prime factorization of 4140

4140 = 2 x 2 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 4145

4145 = 5 x 829

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4140 and 4145 is 5