Greatest Common Factor of 8945 and 8950

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 8945, 8950 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8945 and 8950 is 5.

GCF(8945,8950) = 5

GCF of 8945 and 8950

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

GCF of:
and

Greatest Common Factor of 8945 and 8950

GCF of 8945 and 8950 is 5

Prime Factorization of 8945


5 8945
1789 1789
1

Prime factors of 8945 are 5,1789. Prime factorization of 8945 in exponential form is:

8945 = 51×17891

Prime Factorization of 8950


2 8950
5 4475
5 895
179 179
1

Prime factors of 8950 are 2,5,179. Prime factorization of 8950 in exponential form is:

8950 = 21×52×1791

∴ So by taking common prime factors GCF of 8945 and 8950 is 5

Greatest Common Factor of 8945 and 8950 by matching factors method

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Factors of 8950

List of positive integer factors of 8950 that divides 8950 without a remainder.

1,2,5,10,25,50,179,358,895,1790,4475,8950

Greatest Common Factor

We found the factors and prime factorization of 8945 and 8950. The biggest common factor number is the GCF number.
So the greatest common factor 8945 and 8950 is 5.

Also check out the Least Common Multiple of 8945 and 8950

Properties of GCF 8945 and 8950

(i) The GCF of 8945 and 8950 is associative

GCF of 8945 and 8950 = GCF of 8950 and 8945

Related Greatest Common Factor of 8945

Related Greatest Common Factor of 8950

Frequently Asked Questions on GCF of 8945 and 8950

1. What is the GCF of 8945 and 8950?

Answer: GCF of 8945 and 8950 is 5.

2. What are the Factors of 8945?

Answer: Factors of 8945 are 1, 5, 1789, 8945. There are 4 integers that are factors of 8945. The greatest factor of 8945 is 8945.

3. What are the Factors of 8950?

Answer: Factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950. There are 12 integers that are factors of 8950. The greatest factor of 8950 is 8950.

4. How to Find the GCF of 8945 and 8950?

Answer:

Greatest Common Factor of 8945 and 8950 = 5

Step 1: Find the prime factorization of 8945

8945 = 5 x 1789

Step 2: Find the prime factorization of 8950

8950 = 2 x 5 x 5 x 179

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 8945 and 8950 is 5