Greatest Common Factor of 39048 and 39056

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 39048, 39056 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39048 and 39056 is 8.

GCF(39048,39056) = 8

GCF of 39048 and 39056

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

GCF of:
and

Greatest Common Factor of 39048 and 39056

GCF of 39048 and 39056 is 8

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

Prime Factorization of 39056


2 39056
2 19528
2 9764
2 4882
2441 2441
1

Prime factors of 39056 are 2,2441. Prime factorization of 39056 in exponential form is:

39056 = 24×24411

∴ So by taking common prime factors GCF of 39048 and 39056 is 8

Greatest Common Factor of 39048 and 39056 by matching factors method

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

Factors of 39056

List of positive integer factors of 39056 that divides 39056 without a remainder.

1,2,4,8,16,2441,4882,9764,19528,39056

Greatest Common Factor

We found the factors and prime factorization of 39048 and 39056. The biggest common factor number is the GCF number.
So the greatest common factor 39048 and 39056 is 8.

Also check out the Least Common Multiple of 39048 and 39056

Properties of GCF 39048 and 39056

(i) The GCF of 39048 and 39056 is associative

GCF of 39048 and 39056 = GCF of 39056 and 39048

Related Greatest Common Factor of 39048

Related Greatest Common Factor of 39056

Frequently Asked Questions on GCF of 39048 and 39056

1. What is the GCF of 39048 and 39056?

Answer: GCF of 39048 and 39056 is 8.

2. 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.

3. What are the Factors of 39056?

Answer: Factors of 39056 are 1, 2, 4, 8, 16, 2441, 4882, 9764, 19528, 39056. There are 10 integers that are factors of 39056. The greatest factor of 39056 is 39056.

4. How to Find the GCF of 39048 and 39056?

Answer:

Greatest Common Factor of 39048 and 39056 = 8

Step 1: Find the prime factorization of 39048

39048 = 2 x 2 x 2 x 3 x 1627

Step 2: Find the prime factorization of 39056

39056 = 2 x 2 x 2 x 2 x 2441

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 39048 and 39056 is 8