Greatest Common Factor of 7964 and 7969

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 7964, 7969 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7964 and 7969 is 1.

GCF(7964,7969) = 1

GCF of 7964 and 7969

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

GCF of:
and

Greatest Common Factor of 7964 and 7969

GCF of 7964 and 7969 is 1

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

Prime Factorization of 7969


13 7969
613 613
1

Prime factors of 7969 are 13,613. Prime factorization of 7969 in exponential form is:

7969 = 131×6131

∴ So by taking common prime factors GCF of 7964 and 7969 is 1

Greatest Common Factor of 7964 and 7969 by matching factors method

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

Factors of 7969

List of positive integer factors of 7969 that divides 7969 without a remainder.

1,13,613,7969

Greatest Common Factor

We found the factors and prime factorization of 7964 and 7969. The biggest common factor number is the GCF number.
So the greatest common factor 7964 and 7969 is 1.

Also check out the Least Common Multiple of 7964 and 7969

Properties of GCF 7964 and 7969

(i) The GCF of 7964 and 7969 is associative

GCF of 7964 and 7969 = GCF of 7969 and 7964

Related Greatest Common Factor of 7964

Related Greatest Common Factor of 7969

Frequently Asked Questions on GCF of 7964 and 7969

1. What is the GCF of 7964 and 7969?

Answer: GCF of 7964 and 7969 is 1.

2. 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.

3. What are the Factors of 7969?

Answer: Factors of 7969 are 1, 13, 613, 7969. There are 4 integers that are factors of 7969. The greatest factor of 7969 is 7969.

4. How to Find the GCF of 7964 and 7969?

Answer:

Greatest Common Factor of 7964 and 7969 = 1

Step 1: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

Step 2: Find the prime factorization of 7969

7969 = 13 x 613

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 7964 and 7969 is 1