Greatest Common Factor of 8075 and 8077

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 8075, 8077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8075 and 8077 is 1.

GCF(8075,8077) = 1

GCF of 8075 and 8077

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

GCF of:
and

Greatest Common Factor of 8075 and 8077

GCF of 8075 and 8077 is 1

Prime Factorization of 8075


5 8075
5 1615
17 323
19 19
1

Prime factors of 8075 are 5,17,19. Prime factorization of 8075 in exponential form is:

8075 = 52×171×191

Prime Factorization of 8077


41 8077
197 197
1

Prime factors of 8077 are 41,197. Prime factorization of 8077 in exponential form is:

8077 = 411×1971

∴ So by taking common prime factors GCF of 8075 and 8077 is 1

Greatest Common Factor of 8075 and 8077 by matching factors method

Factors of 8075

List of positive integer factors of 8075 that divides 8075 without a remainder.

1,5,17,19,25,85,95,323,425,475,1615,8075

Factors of 8077

List of positive integer factors of 8077 that divides 8077 without a remainder.

1,41,197,8077

Greatest Common Factor

We found the factors and prime factorization of 8075 and 8077. The biggest common factor number is the GCF number.
So the greatest common factor 8075 and 8077 is 1.

Also check out the Least Common Multiple of 8075 and 8077

Properties of GCF 8075 and 8077

(i) The GCF of 8075 and 8077 is associative

GCF of 8075 and 8077 = GCF of 8077 and 8075

Related Greatest Common Factor of 8075

Related Greatest Common Factor of 8077

Frequently Asked Questions on GCF of 8075 and 8077

1. What is the GCF of 8075 and 8077?

Answer: GCF of 8075 and 8077 is 1.

2. What are the Factors of 8075?

Answer: Factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075. There are 12 integers that are factors of 8075. The greatest factor of 8075 is 8075.

3. What are the Factors of 8077?

Answer: Factors of 8077 are 1, 41, 197, 8077. There are 4 integers that are factors of 8077. The greatest factor of 8077 is 8077.

4. How to Find the GCF of 8075 and 8077?

Answer:

Greatest Common Factor of 8075 and 8077 = 1

Step 1: Find the prime factorization of 8075

8075 = 5 x 5 x 17 x 19

Step 2: Find the prime factorization of 8077

8077 = 41 x 197

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8075 and 8077 is 1