Greatest Common Factor of 8946 and 8953

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 8946, 8953 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8946 and 8953 is 7.

GCF(8946,8953) = 7

GCF of 8946 and 8953

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

GCF of:
and

Greatest Common Factor of 8946 and 8953

GCF of 8946 and 8953 is 7

Prime Factorization of 8946


2 8946
3 4473
3 1491
7 497
71 71
1

Prime factors of 8946 are 2,3,7,71. Prime factorization of 8946 in exponential form is:

8946 = 21×32×71×711

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

∴ So by taking common prime factors GCF of 8946 and 8953 is 7

Greatest Common Factor of 8946 and 8953 by matching factors method

Factors of 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946

Factors of 8953

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

1,7,1279,8953

Greatest Common Factor

We found the factors and prime factorization of 8946 and 8953. The biggest common factor number is the GCF number.
So the greatest common factor 8946 and 8953 is 7.

Also check out the Least Common Multiple of 8946 and 8953

Properties of GCF 8946 and 8953

(i) The GCF of 8946 and 8953 is associative

GCF of 8946 and 8953 = GCF of 8953 and 8946

Related Greatest Common Factor of 8946

Related Greatest Common Factor of 8953

Frequently Asked Questions on GCF of 8946 and 8953

1. What is the GCF of 8946 and 8953?

Answer: GCF of 8946 and 8953 is 7.

2. What are the Factors of 8946?

Answer: Factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946. There are 24 integers that are factors of 8946. The greatest factor of 8946 is 8946.

3. 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.

4. How to Find the GCF of 8946 and 8953?

Answer:

Greatest Common Factor of 8946 and 8953 = 7

Step 1: Find the prime factorization of 8946

8946 = 2 x 3 x 3 x 7 x 71

Step 2: Find the prime factorization of 8953

8953 = 7 x 1279

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 8946 and 8953 is 7