Greatest Common Factor of 5075 and 5082

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 5075, 5082 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5075 and 5082 is 7.

GCF(5075,5082) = 7

GCF of 5075 and 5082

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

GCF of:
and

Greatest Common Factor of 5075 and 5082

GCF of 5075 and 5082 is 7

Prime Factorization of 5075


5 5075
5 1015
7 203
29 29
1

Prime factors of 5075 are 5,7,29. Prime factorization of 5075 in exponential form is:

5075 = 52×71×291

Prime Factorization of 5082


2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 5082 are 2,3,7,11. Prime factorization of 5082 in exponential form is:

5082 = 21×31×71×112

∴ So by taking common prime factors GCF of 5075 and 5082 is 7

Greatest Common Factor of 5075 and 5082 by matching factors method

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1,5,7,25,29,35,145,175,203,725,1015,5075

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

Greatest Common Factor

We found the factors and prime factorization of 5075 and 5082. The biggest common factor number is the GCF number.
So the greatest common factor 5075 and 5082 is 7.

Also check out the Least Common Multiple of 5075 and 5082

Properties of GCF 5075 and 5082

(i) The GCF of 5075 and 5082 is associative

GCF of 5075 and 5082 = GCF of 5082 and 5075

Related Greatest Common Factor of 5075

Related Greatest Common Factor of 5082

Frequently Asked Questions on GCF of 5075 and 5082

1. What is the GCF of 5075 and 5082?

Answer: GCF of 5075 and 5082 is 7.

2. What are the Factors of 5075?

Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.

3. What are the Factors of 5082?

Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.

4. How to Find the GCF of 5075 and 5082?

Answer:

Greatest Common Factor of 5075 and 5082 = 7

Step 1: Find the prime factorization of 5075

5075 = 5 x 5 x 7 x 29

Step 2: Find the prime factorization of 5082

5082 = 2 x 3 x 7 x 11 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5075 and 5082 is 7