Greatest Common Factor of 8953 and 8958

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 8953, 8958 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8953 and 8958 is 1.

GCF(8953,8958) = 1

GCF of 8953 and 8958

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

GCF of:
and

Greatest Common Factor of 8953 and 8958

GCF of 8953 and 8958 is 1

Prime Factorization of 8953


7 8953
1279 1279
1

Prime factors of 8953 are 7,1279. Prime factorization of 8953 in exponential form is:

8953 = 71×12791

Prime Factorization of 8958


2 8958
3 4479
1493 1493
1

Prime factors of 8958 are 2,3,1493. Prime factorization of 8958 in exponential form is:

8958 = 21×31×14931

∴ So by taking common prime factors GCF of 8953 and 8958 is 1

Greatest Common Factor of 8953 and 8958 by matching factors method

Factors of 8953

List of positive integer factors of 8953 that divides 8953 without a remainder.

1,7,1279,8953

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors and prime factorization of 8953 and 8958. The biggest common factor number is the GCF number.
So the greatest common factor 8953 and 8958 is 1.

Also check out the Least Common Multiple of 8953 and 8958

Properties of GCF 8953 and 8958

(i) The GCF of 8953 and 8958 is associative

GCF of 8953 and 8958 = GCF of 8958 and 8953

Related Greatest Common Factor of 8953

Related Greatest Common Factor of 8958

Frequently Asked Questions on GCF of 8953 and 8958

1. What is the GCF of 8953 and 8958?

Answer: GCF of 8953 and 8958 is 1.

2. What are the Factors of 8953?

Answer: Factors of 8953 are 1, 7, 1279, 8953. There are 4 integers that are factors of 8953. The greatest factor of 8953 is 8953.

3. What are the Factors of 8958?

Answer: Factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958. There are 8 integers that are factors of 8958. The greatest factor of 8958 is 8958.

4. How to Find the GCF of 8953 and 8958?

Answer:

Greatest Common Factor of 8953 and 8958 = 1

Step 1: Find the prime factorization of 8953

8953 = 7 x 1279

Step 2: Find the prime factorization of 8958

8958 = 2 x 3 x 1493

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 8953 and 8958 is 1