Greatest Common Factor of 7964 and 7967

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, 7967 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7964 and 7967 is 1.

GCF(7964,7967) = 1

GCF of 7964 and 7967

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

GCF of:
and

Greatest Common Factor of 7964 and 7967

GCF of 7964 and 7967 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 7967


31 7967
257 257
1

Prime factors of 7967 are 31,257. Prime factorization of 7967 in exponential form is:

7967 = 311×2571

∴ So by taking common prime factors GCF of 7964 and 7967 is 1

Greatest Common Factor of 7964 and 7967 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 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1,31,257,7967

Greatest Common Factor

We found the factors and prime factorization of 7964 and 7967. The biggest common factor number is the GCF number.
So the greatest common factor 7964 and 7967 is 1.

Also check out the Least Common Multiple of 7964 and 7967

Properties of GCF 7964 and 7967

(i) The GCF of 7964 and 7967 is associative

GCF of 7964 and 7967 = GCF of 7967 and 7964

Related Greatest Common Factor of 7964

Related Greatest Common Factor of 7967

Frequently Asked Questions on GCF of 7964 and 7967

1. What is the GCF of 7964 and 7967?

Answer: GCF of 7964 and 7967 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 7967?

Answer: Factors of 7967 are 1, 31, 257, 7967. There are 4 integers that are factors of 7967. The greatest factor of 7967 is 7967.

4. How to Find the GCF of 7964 and 7967?

Answer:

Greatest Common Factor of 7964 and 7967 = 1

Step 1: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

Step 2: Find the prime factorization of 7967

7967 = 31 x 257

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 7967 is 1