Greatest Common Factor of 42 and 46

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 42, 46 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42 and 46 is 2.

GCF(42,46) = 2

GCF of 42 and 46

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

GCF of:
and

Greatest Common Factor of 42 and 46

GCF of 42 and 46 is 2

Prime Factorization of 42


2 42
3 21
7 7
1

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

42 = 21×31×71

Prime Factorization of 46


2 46
23 23
1

Prime factors of 46 are 2,23. Prime factorization of 46 in exponential form is:

46 = 21×231

∴ So by taking common prime factors GCF of 42 and 46 is 2

Greatest Common Factor of 42 and 46 by matching factors method

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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors and prime factorization of 42 and 46. The biggest common factor number is the GCF number.
So the greatest common factor 42 and 46 is 2.

Also check out the Least Common Multiple of 42 and 46

Properties of GCF 42 and 46

(i) The GCF of 42 and 46 is associative

GCF of 42 and 46 = GCF of 46 and 42

Related Greatest Common Factor of 42

Related Greatest Common Factor of 46

Frequently Asked Questions on GCF of 42 and 46

1. What is the GCF of 42 and 46?

Answer: GCF of 42 and 46 is 2.

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 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

4. How to Find the GCF of 42 and 46?

Answer:

Greatest Common Factor of 42 and 46 = 2

Step 1: Find the prime factorization of 42

42 = 2 x 3 x 7

Step 2: Find the prime factorization of 46

46 = 2 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 42 and 46 is 2