Greatest Common Factor of 4048 and 4054

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 4048, 4054 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4048 and 4054 is 2.

GCF(4048,4054) = 2

GCF of 4048 and 4054

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

GCF of:
and

Greatest Common Factor of 4048 and 4054

GCF of 4048 and 4054 is 2

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

Prime Factorization of 4054


2 4054
2027 2027
1

Prime factors of 4054 are 2,2027. Prime factorization of 4054 in exponential form is:

4054 = 21×20271

∴ So by taking common prime factors GCF of 4048 and 4054 is 2

Greatest Common Factor of 4048 and 4054 by matching factors method

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

Factors of 4054

List of positive integer factors of 4054 that divides 4054 without a remainder.

1,2,2027,4054

Greatest Common Factor

We found the factors and prime factorization of 4048 and 4054. The biggest common factor number is the GCF number.
So the greatest common factor 4048 and 4054 is 2.

Also check out the Least Common Multiple of 4048 and 4054

Properties of GCF 4048 and 4054

(i) The GCF of 4048 and 4054 is associative

GCF of 4048 and 4054 = GCF of 4054 and 4048

Related Greatest Common Factor of 4048

Related Greatest Common Factor of 4054

Frequently Asked Questions on GCF of 4048 and 4054

1. What is the GCF of 4048 and 4054?

Answer: GCF of 4048 and 4054 is 2.

2. 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.

3. What are the Factors of 4054?

Answer: Factors of 4054 are 1, 2, 2027, 4054. There are 4 integers that are factors of 4054. The greatest factor of 4054 is 4054.

4. How to Find the GCF of 4048 and 4054?

Answer:

Greatest Common Factor of 4048 and 4054 = 2

Step 1: Find the prime factorization of 4048

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

Step 2: Find the prime factorization of 4054

4054 = 2 x 2027

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 4048 and 4054 is 2