Greatest Common Factor of 7953 and 7956

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 7953, 7956 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7953 and 7956 is 3.

GCF(7953,7956) = 3

GCF of 7953 and 7956

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

GCF of:
and

Greatest Common Factor of 7953 and 7956

GCF of 7953 and 7956 is 3

Prime Factorization of 7953


3 7953
11 2651
241 241
1

Prime factors of 7953 are 3,11,241. Prime factorization of 7953 in exponential form is:

7953 = 31×111×2411

Prime Factorization of 7956


2 7956
2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 7956 are 2,3,13,17. Prime factorization of 7956 in exponential form is:

7956 = 22×32×131×171

∴ So by taking common prime factors GCF of 7953 and 7956 is 3

Greatest Common Factor of 7953 and 7956 by matching factors method

Factors of 7953

List of positive integer factors of 7953 that divides 7953 without a remainder.

1,3,11,33,241,723,2651,7953

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956

Greatest Common Factor

We found the factors and prime factorization of 7953 and 7956. The biggest common factor number is the GCF number.
So the greatest common factor 7953 and 7956 is 3.

Also check out the Least Common Multiple of 7953 and 7956

Properties of GCF 7953 and 7956

(i) The GCF of 7953 and 7956 is associative

GCF of 7953 and 7956 = GCF of 7956 and 7953

Related Greatest Common Factor of 7953

Related Greatest Common Factor of 7956

Frequently Asked Questions on GCF of 7953 and 7956

1. What is the GCF of 7953 and 7956?

Answer: GCF of 7953 and 7956 is 3.

2. What are the Factors of 7953?

Answer: Factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953. There are 8 integers that are factors of 7953. The greatest factor of 7953 is 7953.

3. What are the Factors of 7956?

Answer: Factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956. There are 36 integers that are factors of 7956. The greatest factor of 7956 is 7956.

4. How to Find the GCF of 7953 and 7956?

Answer:

Greatest Common Factor of 7953 and 7956 = 3

Step 1: Find the prime factorization of 7953

7953 = 3 x 11 x 241

Step 2: Find the prime factorization of 7956

7956 = 2 x 2 x 3 x 3 x 13 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7953 and 7956 is 3