Greatest Common Factor of 87744 and 87748

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 87744, 87748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 87744 and 87748 is 4.

GCF(87744,87748) = 4

GCF of 87744 and 87748

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

GCF of:
and

Greatest Common Factor of 87744 and 87748

GCF of 87744 and 87748 is 4

Prime Factorization of 87744


2 87744
2 43872
2 21936
2 10968
2 5484
2 2742
3 1371
457 457
1

Prime factors of 87744 are 2,3,457. Prime factorization of 87744 in exponential form is:

87744 = 26×31×4571

Prime Factorization of 87748


2 87748
2 43874
21937 21937
1

Prime factors of 87748 are 2,21937. Prime factorization of 87748 in exponential form is:

87748 = 22×219371

∴ So by taking common prime factors GCF of 87744 and 87748 is 4

Greatest Common Factor of 87744 and 87748 by matching factors method

Factors of 87744

List of positive integer factors of 87744 that divides 87744 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192,457,914,1371,1828,2742,3656,5484,7312,10968,14624,21936,29248,43872,87744

Factors of 87748

List of positive integer factors of 87748 that divides 87748 without a remainder.

1,2,4,21937,43874,87748

Greatest Common Factor

We found the factors and prime factorization of 87744 and 87748. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87748 is 4.

Also check out the Least Common Multiple of 87744 and 87748

Properties of GCF 87744 and 87748

(i) The GCF of 87744 and 87748 is associative

GCF of 87744 and 87748 = GCF of 87748 and 87744

Related Greatest Common Factor of 87744

Related Greatest Common Factor of 87748

Frequently Asked Questions on GCF of 87744 and 87748

1. What is the GCF of 87744 and 87748?

Answer: GCF of 87744 and 87748 is 4.

2. What are the Factors of 87744?

Answer: Factors of 87744 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968, 14624, 21936, 29248, 43872, 87744. There are 28 integers that are factors of 87744. The greatest factor of 87744 is 87744.

3. What are the Factors of 87748?

Answer: Factors of 87748 are 1, 2, 4, 21937, 43874, 87748. There are 6 integers that are factors of 87748. The greatest factor of 87748 is 87748.

4. How to Find the GCF of 87744 and 87748?

Answer:

Greatest Common Factor of 87744 and 87748 = 4

Step 1: Find the prime factorization of 87744

87744 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 87748

87748 = 2 x 2 x 21937

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 87744 and 87748 is 4