Greatest Common Factor of 68748 and 68752

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 68748, 68752 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 68748 and 68752 is 4.

GCF(68748,68752) = 4

GCF of 68748 and 68752

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

GCF of:
and

Greatest Common Factor of 68748 and 68752

GCF of 68748 and 68752 is 4

Prime Factorization of 68748


2 68748
2 34374
3 17187
17 5729
337 337
1

Prime factors of 68748 are 2,3,17,337. Prime factorization of 68748 in exponential form is:

68748 = 22×31×171×3371

Prime Factorization of 68752


2 68752
2 34376
2 17188
2 8594
4297 4297
1

Prime factors of 68752 are 2,4297. Prime factorization of 68752 in exponential form is:

68752 = 24×42971

∴ So by taking common prime factors GCF of 68748 and 68752 is 4

Greatest Common Factor of 68748 and 68752 by matching factors method

Factors of 68748

List of positive integer factors of 68748 that divides 68748 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,337,674,1011,1348,2022,4044,5729,11458,17187,22916,34374,68748

Factors of 68752

List of positive integer factors of 68752 that divides 68752 without a remainder.

1,2,4,8,16,4297,8594,17188,34376,68752

Greatest Common Factor

We found the factors and prime factorization of 68748 and 68752. The biggest common factor number is the GCF number.
So the greatest common factor 68748 and 68752 is 4.

Also check out the Least Common Multiple of 68748 and 68752

Properties of GCF 68748 and 68752

(i) The GCF of 68748 and 68752 is associative

GCF of 68748 and 68752 = GCF of 68752 and 68748

Related Greatest Common Factor of 68748

Related Greatest Common Factor of 68752

Frequently Asked Questions on GCF of 68748 and 68752

1. What is the GCF of 68748 and 68752?

Answer: GCF of 68748 and 68752 is 4.

2. What are the Factors of 68748?

Answer: Factors of 68748 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 337, 674, 1011, 1348, 2022, 4044, 5729, 11458, 17187, 22916, 34374, 68748. There are 24 integers that are factors of 68748. The greatest factor of 68748 is 68748.

3. What are the Factors of 68752?

Answer: Factors of 68752 are 1, 2, 4, 8, 16, 4297, 8594, 17188, 34376, 68752. There are 10 integers that are factors of 68752. The greatest factor of 68752 is 68752.

4. How to Find the GCF of 68748 and 68752?

Answer:

Greatest Common Factor of 68748 and 68752 = 4

Step 1: Find the prime factorization of 68748

68748 = 2 x 2 x 3 x 17 x 337

Step 2: Find the prime factorization of 68752

68752 = 2 x 2 x 2 x 2 x 4297

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 68748 and 68752 is 4