Greatest Common Factor of 4305 and 4312

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 4305, 4312 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4305 and 4312 is 7.

GCF(4305,4312) = 7

GCF of 4305 and 4312

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

GCF of:
and

Greatest Common Factor of 4305 and 4312

GCF of 4305 and 4312 is 7

Prime Factorization of 4305


3 4305
5 1435
7 287
41 41
1

Prime factors of 4305 are 3,5,7,41. Prime factorization of 4305 in exponential form is:

4305 = 31×51×71×411

Prime Factorization of 4312


2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 4312 are 2,7,11. Prime factorization of 4312 in exponential form is:

4312 = 23×72×111

∴ So by taking common prime factors GCF of 4305 and 4312 is 7

Greatest Common Factor of 4305 and 4312 by matching factors method

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312

Greatest Common Factor

We found the factors and prime factorization of 4305 and 4312. The biggest common factor number is the GCF number.
So the greatest common factor 4305 and 4312 is 7.

Also check out the Least Common Multiple of 4305 and 4312

Properties of GCF 4305 and 4312

(i) The GCF of 4305 and 4312 is associative

GCF of 4305 and 4312 = GCF of 4312 and 4305

Related Greatest Common Factor of 4305

Related Greatest Common Factor of 4312

Frequently Asked Questions on GCF of 4305 and 4312

1. What is the GCF of 4305 and 4312?

Answer: GCF of 4305 and 4312 is 7.

2. What are the Factors of 4305?

Answer: Factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305. There are 16 integers that are factors of 4305. The greatest factor of 4305 is 4305.

3. What are the Factors of 4312?

Answer: Factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312. There are 24 integers that are factors of 4312. The greatest factor of 4312 is 4312.

4. How to Find the GCF of 4305 and 4312?

Answer:

Greatest Common Factor of 4305 and 4312 = 7

Step 1: Find the prime factorization of 4305

4305 = 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 4312

4312 = 2 x 2 x 2 x 7 x 7 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4305 and 4312 is 7