Greatest Common Factor of 4300 and 4307

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 4300, 4307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4300 and 4307 is 1.

GCF(4300,4307) = 1

GCF of 4300 and 4307

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

GCF of:
and

Greatest Common Factor of 4300 and 4307

GCF of 4300 and 4307 is 1

Prime Factorization of 4300


2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 4300 are 2,5,43. Prime factorization of 4300 in exponential form is:

4300 = 22×52×431

Prime Factorization of 4307


59 4307
73 73
1

Prime factors of 4307 are 59,73. Prime factorization of 4307 in exponential form is:

4307 = 591×731

∴ So by taking common prime factors GCF of 4300 and 4307 is 1

Greatest Common Factor of 4300 and 4307 by matching factors method

Factors of 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300

Factors of 4307

List of positive integer factors of 4307 that divides 4307 without a remainder.

1,59,73,4307

Greatest Common Factor

We found the factors and prime factorization of 4300 and 4307. The biggest common factor number is the GCF number.
So the greatest common factor 4300 and 4307 is 1.

Also check out the Least Common Multiple of 4300 and 4307

Properties of GCF 4300 and 4307

(i) The GCF of 4300 and 4307 is associative

GCF of 4300 and 4307 = GCF of 4307 and 4300

Related Greatest Common Factor of 4300

Related Greatest Common Factor of 4307

Frequently Asked Questions on GCF of 4300 and 4307

1. What is the GCF of 4300 and 4307?

Answer: GCF of 4300 and 4307 is 1.

2. What are the Factors of 4300?

Answer: Factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300. There are 18 integers that are factors of 4300. The greatest factor of 4300 is 4300.

3. What are the Factors of 4307?

Answer: Factors of 4307 are 1, 59, 73, 4307. There are 4 integers that are factors of 4307. The greatest factor of 4307 is 4307.

4. How to Find the GCF of 4300 and 4307?

Answer:

Greatest Common Factor of 4300 and 4307 = 1

Step 1: Find the prime factorization of 4300

4300 = 2 x 2 x 5 x 5 x 43

Step 2: Find the prime factorization of 4307

4307 = 59 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4300 and 4307 is 1