Greatest Common Factor of 8938 and 8945

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 8938, 8945 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8938 and 8945 is 1.

GCF(8938,8945) = 1

GCF of 8938 and 8945

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

GCF of:
and

Greatest Common Factor of 8938 and 8945

GCF of 8938 and 8945 is 1

Prime Factorization of 8938


2 8938
41 4469
109 109
1

Prime factors of 8938 are 2,41,109. Prime factorization of 8938 in exponential form is:

8938 = 21×411×1091

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

∴ So by taking common prime factors GCF of 8938 and 8945 is 1

Greatest Common Factor of 8938 and 8945 by matching factors method

Factors of 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1,2,41,82,109,218,4469,8938

Factors of 8945

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

1,5,1789,8945

Greatest Common Factor

We found the factors and prime factorization of 8938 and 8945. The biggest common factor number is the GCF number.
So the greatest common factor 8938 and 8945 is 1.

Also check out the Least Common Multiple of 8938 and 8945

Properties of GCF 8938 and 8945

(i) The GCF of 8938 and 8945 is associative

GCF of 8938 and 8945 = GCF of 8945 and 8938

Related Greatest Common Factor of 8938

Related Greatest Common Factor of 8945

Frequently Asked Questions on GCF of 8938 and 8945

1. What is the GCF of 8938 and 8945?

Answer: GCF of 8938 and 8945 is 1.

2. What are the Factors of 8938?

Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.

3. 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.

4. How to Find the GCF of 8938 and 8945?

Answer:

Greatest Common Factor of 8938 and 8945 = 1

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8945

8945 = 5 x 1789

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 8938 and 8945 is 1