Greatest Common Factor of 39040 and 39048

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 39040, 39048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39040 and 39048 is 8.

GCF(39040,39048) = 8

GCF of 39040 and 39048

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

GCF of:
and

Greatest Common Factor of 39040 and 39048

GCF of 39040 and 39048 is 8

Prime Factorization of 39040


2 39040
2 19520
2 9760
2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 39040 are 2,5,61. Prime factorization of 39040 in exponential form is:

39040 = 27×51×611

Prime Factorization of 39048


2 39048
2 19524
2 9762
3 4881
1627 1627
1

Prime factors of 39048 are 2,3,1627. Prime factorization of 39048 in exponential form is:

39048 = 23×31×16271

∴ So by taking common prime factors GCF of 39040 and 39048 is 8

Greatest Common Factor of 39040 and 39048 by matching factors method

Factors of 39040

List of positive integer factors of 39040 that divides 39040 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,64,80,122,128,160,244,305,320,488,610,640,976,1220,1952,2440,3904,4880,7808,9760,19520,39040

Factors of 39048

List of positive integer factors of 39048 that divides 39048 without a remainder.

1,2,3,4,6,8,12,24,1627,3254,4881,6508,9762,13016,19524,39048

Greatest Common Factor

We found the factors and prime factorization of 39040 and 39048. The biggest common factor number is the GCF number.
So the greatest common factor 39040 and 39048 is 8.

Also check out the Least Common Multiple of 39040 and 39048

Properties of GCF 39040 and 39048

(i) The GCF of 39040 and 39048 is associative

GCF of 39040 and 39048 = GCF of 39048 and 39040

Related Greatest Common Factor of 39040

Related Greatest Common Factor of 39048

Frequently Asked Questions on GCF of 39040 and 39048

1. What is the GCF of 39040 and 39048?

Answer: GCF of 39040 and 39048 is 8.

2. What are the Factors of 39040?

Answer: Factors of 39040 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 305, 320, 488, 610, 640, 976, 1220, 1952, 2440, 3904, 4880, 7808, 9760, 19520, 39040. There are 32 integers that are factors of 39040. The greatest factor of 39040 is 39040.

3. What are the Factors of 39048?

Answer: Factors of 39048 are 1, 2, 3, 4, 6, 8, 12, 24, 1627, 3254, 4881, 6508, 9762, 13016, 19524, 39048. There are 16 integers that are factors of 39048. The greatest factor of 39048 is 39048.

4. How to Find the GCF of 39040 and 39048?

Answer:

Greatest Common Factor of 39040 and 39048 = 8

Step 1: Find the prime factorization of 39040

39040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 61

Step 2: Find the prime factorization of 39048

39048 = 2 x 2 x 2 x 3 x 1627

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 39040 and 39048 is 8