Greatest Common Factor of 8740 and 8745

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 8740, 8745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8740 and 8745 is 5.

GCF(8740,8745) = 5

GCF of 8740 and 8745

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

GCF of:
and

Greatest Common Factor of 8740 and 8745

GCF of 8740 and 8745 is 5

Prime Factorization of 8740


2 8740
2 4370
5 2185
19 437
23 23
1

Prime factors of 8740 are 2,5,19,23. Prime factorization of 8740 in exponential form is:

8740 = 22×51×191×231

Prime Factorization of 8745


3 8745
5 2915
11 583
53 53
1

Prime factors of 8745 are 3,5,11,53. Prime factorization of 8745 in exponential form is:

8745 = 31×51×111×531

∴ So by taking common prime factors GCF of 8740 and 8745 is 5

Greatest Common Factor of 8740 and 8745 by matching factors method

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745

Greatest Common Factor

We found the factors and prime factorization of 8740 and 8745. The biggest common factor number is the GCF number.
So the greatest common factor 8740 and 8745 is 5.

Also check out the Least Common Multiple of 8740 and 8745

Properties of GCF 8740 and 8745

(i) The GCF of 8740 and 8745 is associative

GCF of 8740 and 8745 = GCF of 8745 and 8740

Related Greatest Common Factor of 8740

Related Greatest Common Factor of 8745

Frequently Asked Questions on GCF of 8740 and 8745

1. What is the GCF of 8740 and 8745?

Answer: GCF of 8740 and 8745 is 5.

2. What are the Factors of 8740?

Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.

3. What are the Factors of 8745?

Answer: Factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745. There are 16 integers that are factors of 8745. The greatest factor of 8745 is 8745.

4. How to Find the GCF of 8740 and 8745?

Answer:

Greatest Common Factor of 8740 and 8745 = 5

Step 1: Find the prime factorization of 8740

8740 = 2 x 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 8745

8745 = 3 x 5 x 11 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8740 and 8745 is 5