Greatest Common Factor of 10040 and 10048

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 10040, 10048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10040 and 10048 is 8.

GCF(10040,10048) = 8

GCF of 10040 and 10048

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

GCF of:
and

Greatest Common Factor of 10040 and 10048

GCF of 10040 and 10048 is 8

Prime Factorization of 10040


2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 10040 are 2,5,251. Prime factorization of 10040 in exponential form is:

10040 = 23×51×2511

Prime Factorization of 10048


2 10048
2 5024
2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 10048 are 2,157. Prime factorization of 10048 in exponential form is:

10048 = 26×1571

∴ So by taking common prime factors GCF of 10040 and 10048 is 8

Greatest Common Factor of 10040 and 10048 by matching factors method

Factors of 10040

List of positive integer factors of 10040 that divides 10040 without a remainder.

1,2,4,5,8,10,20,40,251,502,1004,1255,2008,2510,5020,10040

Factors of 10048

List of positive integer factors of 10048 that divides 10048 without a remainder.

1,2,4,8,16,32,64,157,314,628,1256,2512,5024,10048

Greatest Common Factor

We found the factors and prime factorization of 10040 and 10048. The biggest common factor number is the GCF number.
So the greatest common factor 10040 and 10048 is 8.

Also check out the Least Common Multiple of 10040 and 10048

Properties of GCF 10040 and 10048

(i) The GCF of 10040 and 10048 is associative

GCF of 10040 and 10048 = GCF of 10048 and 10040

Related Greatest Common Factor of 10040

Related Greatest Common Factor of 10048

Frequently Asked Questions on GCF of 10040 and 10048

1. What is the GCF of 10040 and 10048?

Answer: GCF of 10040 and 10048 is 8.

2. What are the Factors of 10040?

Answer: Factors of 10040 are 1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040. There are 16 integers that are factors of 10040. The greatest factor of 10040 is 10040.

3. What are the Factors of 10048?

Answer: Factors of 10048 are 1, 2, 4, 8, 16, 32, 64, 157, 314, 628, 1256, 2512, 5024, 10048. There are 14 integers that are factors of 10048. The greatest factor of 10048 is 10048.

4. How to Find the GCF of 10040 and 10048?

Answer:

Greatest Common Factor of 10040 and 10048 = 8

Step 1: Find the prime factorization of 10040

10040 = 2 x 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 10048

10048 = 2 x 2 x 2 x 2 x 2 x 2 x 157

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 10040 and 10048 is 8