Greatest Common Factor of 4040 and 4048

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 4040, 4048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4040 and 4048 is 8.

GCF(4040,4048) = 8

GCF of 4040 and 4048

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

GCF of:
and

Greatest Common Factor of 4040 and 4048

GCF of 4040 and 4048 is 8

Prime Factorization of 4040


2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 4040 are 2,5,101. Prime factorization of 4040 in exponential form is:

4040 = 23×51×1011

Prime Factorization of 4048


2 4048
2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 4048 are 2,11,23. Prime factorization of 4048 in exponential form is:

4048 = 24×111×231

∴ So by taking common prime factors GCF of 4040 and 4048 is 8

Greatest Common Factor of 4040 and 4048 by matching factors method

Factors of 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Factors of 4048

List of positive integer factors of 4048 that divides 4048 without a remainder.

1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048

Greatest Common Factor

We found the factors and prime factorization of 4040 and 4048. The biggest common factor number is the GCF number.
So the greatest common factor 4040 and 4048 is 8.

Also check out the Least Common Multiple of 4040 and 4048

Properties of GCF 4040 and 4048

(i) The GCF of 4040 and 4048 is associative

GCF of 4040 and 4048 = GCF of 4048 and 4040

Related Greatest Common Factor of 4040

Related Greatest Common Factor of 4048

Frequently Asked Questions on GCF of 4040 and 4048

1. What is the GCF of 4040 and 4048?

Answer: GCF of 4040 and 4048 is 8.

2. What are the Factors of 4040?

Answer: Factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040. There are 16 integers that are factors of 4040. The greatest factor of 4040 is 4040.

3. What are the Factors of 4048?

Answer: Factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048. There are 20 integers that are factors of 4048. The greatest factor of 4048 is 4048.

4. How to Find the GCF of 4040 and 4048?

Answer:

Greatest Common Factor of 4040 and 4048 = 8

Step 1: Find the prime factorization of 4040

4040 = 2 x 2 x 2 x 5 x 101

Step 2: Find the prime factorization of 4048

4048 = 2 x 2 x 2 x 2 x 11 x 23

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4040 and 4048 is 8