Greatest Common Factor of 8050 and 8057

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 8050, 8057 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8050 and 8057 is 7.

GCF(8050,8057) = 7

GCF of 8050 and 8057

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

GCF of:
and

Greatest Common Factor of 8050 and 8057

GCF of 8050 and 8057 is 7

Prime Factorization of 8050


2 8050
5 4025
5 805
7 161
23 23
1

Prime factors of 8050 are 2,5,7,23. Prime factorization of 8050 in exponential form is:

8050 = 21×52×71×231

Prime Factorization of 8057


7 8057
1151 1151
1

Prime factors of 8057 are 7,1151. Prime factorization of 8057 in exponential form is:

8057 = 71×11511

∴ So by taking common prime factors GCF of 8050 and 8057 is 7

Greatest Common Factor of 8050 and 8057 by matching factors method

Factors of 8050

List of positive integer factors of 8050 that divides 8050 without a remainder.

1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050

Factors of 8057

List of positive integer factors of 8057 that divides 8057 without a remainder.

1,7,1151,8057

Greatest Common Factor

We found the factors and prime factorization of 8050 and 8057. The biggest common factor number is the GCF number.
So the greatest common factor 8050 and 8057 is 7.

Also check out the Least Common Multiple of 8050 and 8057

Properties of GCF 8050 and 8057

(i) The GCF of 8050 and 8057 is associative

GCF of 8050 and 8057 = GCF of 8057 and 8050

Related Greatest Common Factor of 8050

Related Greatest Common Factor of 8057

Frequently Asked Questions on GCF of 8050 and 8057

1. What is the GCF of 8050 and 8057?

Answer: GCF of 8050 and 8057 is 7.

2. What are the Factors of 8050?

Answer: Factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050. There are 24 integers that are factors of 8050. The greatest factor of 8050 is 8050.

3. What are the Factors of 8057?

Answer: Factors of 8057 are 1, 7, 1151, 8057. There are 4 integers that are factors of 8057. The greatest factor of 8057 is 8057.

4. How to Find the GCF of 8050 and 8057?

Answer:

Greatest Common Factor of 8050 and 8057 = 7

Step 1: Find the prime factorization of 8050

8050 = 2 x 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 8057

8057 = 7 x 1151

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 8050 and 8057 is 7