Greatest Common Factor of 68744 and 68748

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 68744, 68748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 68744 and 68748 is 4.

GCF(68744,68748) = 4

GCF of 68744 and 68748

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

GCF of:
and

Greatest Common Factor of 68744 and 68748

GCF of 68744 and 68748 is 4

Prime Factorization of 68744


2 68744
2 34372
2 17186
13 8593
661 661
1

Prime factors of 68744 are 2,13,661. Prime factorization of 68744 in exponential form is:

68744 = 23×131×6611

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

∴ So by taking common prime factors GCF of 68744 and 68748 is 4

Greatest Common Factor of 68744 and 68748 by matching factors method

Factors of 68744

List of positive integer factors of 68744 that divides 68744 without a remainder.

1,2,4,8,13,26,52,104,661,1322,2644,5288,8593,17186,34372,68744

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

Greatest Common Factor

We found the factors and prime factorization of 68744 and 68748. The biggest common factor number is the GCF number.
So the greatest common factor 68744 and 68748 is 4.

Also check out the Least Common Multiple of 68744 and 68748

Properties of GCF 68744 and 68748

(i) The GCF of 68744 and 68748 is associative

GCF of 68744 and 68748 = GCF of 68748 and 68744

Related Greatest Common Factor of 68744

Related Greatest Common Factor of 68748

Frequently Asked Questions on GCF of 68744 and 68748

1. What is the GCF of 68744 and 68748?

Answer: GCF of 68744 and 68748 is 4.

2. What are the Factors of 68744?

Answer: Factors of 68744 are 1, 2, 4, 8, 13, 26, 52, 104, 661, 1322, 2644, 5288, 8593, 17186, 34372, 68744. There are 16 integers that are factors of 68744. The greatest factor of 68744 is 68744.

3. 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.

4. How to Find the GCF of 68744 and 68748?

Answer:

Greatest Common Factor of 68744 and 68748 = 4

Step 1: Find the prime factorization of 68744

68744 = 2 x 2 x 2 x 13 x 661

Step 2: Find the prime factorization of 68748

68748 = 2 x 2 x 3 x 17 x 337

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 68744 and 68748 is 4