Greatest Common Factor of 8952 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 8952, 8958 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8952 and 8958 is 6.

GCF(8952,8958) = 6

GCF of 8952 and 8958

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

GCF of:
and

Greatest Common Factor of 8952 and 8958

GCF of 8952 and 8958 is 6

Prime Factorization of 8952


2 8952
2 4476
2 2238
3 1119
373 373
1

Prime factors of 8952 are 2,3,373. Prime factorization of 8952 in exponential form is:

8952 = 23×31×3731

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 8952 and 8958 is 6

Greatest Common Factor of 8952 and 8958 by matching factors method

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

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 8952 and 8958. The biggest common factor number is the GCF number.
So the greatest common factor 8952 and 8958 is 6.

Also check out the Least Common Multiple of 8952 and 8958

Properties of GCF 8952 and 8958

(i) The GCF of 8952 and 8958 is associative

GCF of 8952 and 8958 = GCF of 8958 and 8952

Related Greatest Common Factor of 8952

Related Greatest Common Factor of 8958

Frequently Asked Questions on GCF of 8952 and 8958

1. What is the GCF of 8952 and 8958?

Answer: GCF of 8952 and 8958 is 6.

2. What are the Factors of 8952?

Answer: Factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952. There are 16 integers that are factors of 8952. The greatest factor of 8952 is 8952.

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 8952 and 8958?

Answer:

Greatest Common Factor of 8952 and 8958 = 6

Step 1: Find the prime factorization of 8952

8952 = 2 x 2 x 2 x 3 x 373

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8952 and 8958 is 6