Greatest Common Factor of 7960 and 7964

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 7960, 7964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7960 and 7964 is 4.

GCF(7960,7964) = 4

GCF of 7960 and 7964

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

GCF of:
and

Greatest Common Factor of 7960 and 7964

GCF of 7960 and 7964 is 4

Prime Factorization of 7960


2 7960
2 3980
2 1990
5 995
199 199
1

Prime factors of 7960 are 2,5,199. Prime factorization of 7960 in exponential form is:

7960 = 23×51×1991

Prime Factorization of 7964


2 7964
2 3982
11 1991
181 181
1

Prime factors of 7964 are 2,11,181. Prime factorization of 7964 in exponential form is:

7964 = 22×111×1811

∴ So by taking common prime factors GCF of 7960 and 7964 is 4

Greatest Common Factor of 7960 and 7964 by matching factors method

Factors of 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960

Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1,2,4,11,22,44,181,362,724,1991,3982,7964

Greatest Common Factor

We found the factors and prime factorization of 7960 and 7964. The biggest common factor number is the GCF number.
So the greatest common factor 7960 and 7964 is 4.

Also check out the Least Common Multiple of 7960 and 7964

Properties of GCF 7960 and 7964

(i) The GCF of 7960 and 7964 is associative

GCF of 7960 and 7964 = GCF of 7964 and 7960

Related Greatest Common Factor of 7960

Related Greatest Common Factor of 7964

Frequently Asked Questions on GCF of 7960 and 7964

1. What is the GCF of 7960 and 7964?

Answer: GCF of 7960 and 7964 is 4.

2. What are the Factors of 7960?

Answer: Factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960. There are 16 integers that are factors of 7960. The greatest factor of 7960 is 7960.

3. What are the Factors of 7964?

Answer: Factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964. There are 12 integers that are factors of 7964. The greatest factor of 7964 is 7964.

4. How to Find the GCF of 7960 and 7964?

Answer:

Greatest Common Factor of 7960 and 7964 = 4

Step 1: Find the prime factorization of 7960

7960 = 2 x 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7960 and 7964 is 4