Greatest Common Factor of 42 and 43

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

• Greatest Common Factor of 42 and 43 by prime factorization method
• Greatest Common Factor of 42 and 43 by matching factors method

Prime Factorization of 42

Prime factors of 42 are 2,3,7. Prime factorization of 42 in exponential form is:

42 = 2¹×3¹×7¹

Prime Factorization of 43

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

43 = 43¹

∴ So by taking common prime factors GCF of 42 and 43 is 1

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 42 and 43. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 43 is 1.

Also check out the Least Common Multiple of 42 and 43

(i) The GCF of 42 and 43 is associative

GCF of 42 and 43 = GCF of 43 and 42

1. What is the GCF of 42 and 43?

Answer: GCF of 42 and 43 is 1.

2. What are the Factors of 42?

Answer: Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. There are 8 integers that are factors of 42. The greatest factor of 42 is 42.

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 42 and 43?

Answer:

Greatest Common Factor of 42 and 43 = 1

Step 1: Find the prime factorization of 42

42 = 2 x 3 x 7

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 42 and 43 is 1