Greatest Common Factor of 30 and 43

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 30, 43 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30 and 43 is 1.

GCF(30,43) = 1

GCF of 30 and 43

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

GCF of:
and

Greatest Common Factor of 30 and 43

GCF of 30 and 43 is 1

Prime Factorization of 30


2 30
3 15
5 5
1

Prime factors of 30 are 2,3,5. Prime factorization of 30 in exponential form is:

30 = 21×31×51

Prime Factorization of 43


43 43
1

Prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 431

∴ So by taking common prime factors GCF of 30 and 43 is 1

Greatest Common Factor of 30 and 43 by matching factors method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Greatest Common Factor

We found the factors and prime factorization of 30 and 43. The biggest common factor number is the GCF number.
So the greatest common factor 30 and 43 is 1.

Also check out the Least Common Multiple of 30 and 43

Properties of GCF 30 and 43

(i) The GCF of 30 and 43 is associative

GCF of 30 and 43 = GCF of 43 and 30

Related Greatest Common Factor of 30

Related Greatest Common Factor of 43

Frequently Asked Questions on GCF of 30 and 43

1. What is the GCF of 30 and 43?

Answer: GCF of 30 and 43 is 1.

2. What are the Factors of 30?

Answer: Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. There are 8 integers that are factors of 30. The greatest factor of 30 is 30.

3. What are the Factors of 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

4. How to Find the GCF of 30 and 43?

Answer:

Greatest Common Factor of 30 and 43 = 1

Step 1: Find the prime factorization of 30

30 = 2 x 3 x 5

Step 2: Find the prime factorization of 43

43 = 43

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 30 and 43 is 1