Greatest Common Factor of 42046 and 42052

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 42046, 42052 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42046 and 42052 is 2.

GCF(42046,42052) = 2

GCF of 42046 and 42052

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

GCF of:
and

Greatest Common Factor of 42046 and 42052

GCF of 42046 and 42052 is 2

Prime Factorization of 42046


2 42046
21023 21023
1

Prime factors of 42046 are 2,21023. Prime factorization of 42046 in exponential form is:

42046 = 21×210231

Prime Factorization of 42052


2 42052
2 21026
10513 10513
1

Prime factors of 42052 are 2,10513. Prime factorization of 42052 in exponential form is:

42052 = 22×105131

∴ So by taking common prime factors GCF of 42046 and 42052 is 2

Greatest Common Factor of 42046 and 42052 by matching factors method

Factors of 42046

List of positive integer factors of 42046 that divides 42046 without a remainder.

1,2,21023,42046

Factors of 42052

List of positive integer factors of 42052 that divides 42052 without a remainder.

1,2,4,10513,21026,42052

Greatest Common Factor

We found the factors and prime factorization of 42046 and 42052. The biggest common factor number is the GCF number.
So the greatest common factor 42046 and 42052 is 2.

Also check out the Least Common Multiple of 42046 and 42052

Properties of GCF 42046 and 42052

(i) The GCF of 42046 and 42052 is associative

GCF of 42046 and 42052 = GCF of 42052 and 42046

Related Greatest Common Factor of 42046

Related Greatest Common Factor of 42052

Frequently Asked Questions on GCF of 42046 and 42052

1. What is the GCF of 42046 and 42052?

Answer: GCF of 42046 and 42052 is 2.

2. What are the Factors of 42046?

Answer: Factors of 42046 are 1, 2, 21023, 42046. There are 4 integers that are factors of 42046. The greatest factor of 42046 is 42046.

3. What are the Factors of 42052?

Answer: Factors of 42052 are 1, 2, 4, 10513, 21026, 42052. There are 6 integers that are factors of 42052. The greatest factor of 42052 is 42052.

4. How to Find the GCF of 42046 and 42052?

Answer:

Greatest Common Factor of 42046 and 42052 = 2

Step 1: Find the prime factorization of 42046

42046 = 2 x 21023

Step 2: Find the prime factorization of 42052

42052 = 2 x 2 x 10513

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 42046 and 42052 is 2