Greatest Common Factor of 43 and 51

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

• Greatest Common Factor of 43 and 51 by prime factorization method
• Greatest Common Factor of 43 and 51 by matching factors method

Prime Factorization of 43

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

43 = 43¹

Prime Factorization of 51

Prime factors of 51 are 3.Prime factorization of 51 in exponential form is:

51 = 3¹×17¹

∴ So by taking common prime factors GCF of 43 and 51 is 1

Factors of 43

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

1,43

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors and prime factorization of 43 and 51. The biggest common factor number is the GCF number.
So the greatest common factor 43 and 51 is 1.

Also check out the Least Common Multiple of 43 and 51

(i) The GCF of 43 and 51 is associative

GCF of 43 and 51 = GCF of 51 and 43

1. What is the GCF of 43 and 51?

Answer: GCF of 43 and 51 is 1.

2. 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.

3. What are the Factors of 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

4. How to Find the GCF of 43 and 51?

Answer:

Greatest Common Factor of 43 and 51 = 1

Step 1: Find the prime factorization of 43

43 = 43

Step 2: Find the prime factorization of 51

51 = 3 x 17

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 43 and 51 is 1