Greatest Common Factor of 4046 and 4052

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 4046, 4052 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4046 and 4052 is 2.

GCF(4046,4052) = 2

GCF of 4046 and 4052

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

GCF of:
and

Greatest Common Factor of 4046 and 4052

GCF of 4046 and 4052 is 2

Prime Factorization of 4046


2 4046
7 2023
17 289
17 17
1

Prime factors of 4046 are 2,7,17. Prime factorization of 4046 in exponential form is:

4046 = 21×71×172

Prime Factorization of 4052


2 4052
2 2026
1013 1013
1

Prime factors of 4052 are 2,1013. Prime factorization of 4052 in exponential form is:

4052 = 22×10131

∴ So by taking common prime factors GCF of 4046 and 4052 is 2

Greatest Common Factor of 4046 and 4052 by matching factors method

Factors of 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1,2,7,14,17,34,119,238,289,578,2023,4046

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1,2,4,1013,2026,4052

Greatest Common Factor

We found the factors and prime factorization of 4046 and 4052. The biggest common factor number is the GCF number.
So the greatest common factor 4046 and 4052 is 2.

Also check out the Least Common Multiple of 4046 and 4052

Properties of GCF 4046 and 4052

(i) The GCF of 4046 and 4052 is associative

GCF of 4046 and 4052 = GCF of 4052 and 4046

Related Greatest Common Factor of 4046

Related Greatest Common Factor of 4052

Frequently Asked Questions on GCF of 4046 and 4052

1. What is the GCF of 4046 and 4052?

Answer: GCF of 4046 and 4052 is 2.

2. What are the Factors of 4046?

Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.

3. What are the Factors of 4052?

Answer: Factors of 4052 are 1, 2, 4, 1013, 2026, 4052. There are 6 integers that are factors of 4052. The greatest factor of 4052 is 4052.

4. How to Find the GCF of 4046 and 4052?

Answer:

Greatest Common Factor of 4046 and 4052 = 2

Step 1: Find the prime factorization of 4046

4046 = 2 x 7 x 17 x 17

Step 2: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

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 4046 and 4052 is 2