Greatest Common Factor of 963 and 964

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 963, 964 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 963 and 964 is 1.

GCF(963,964) = 1

GCF of 963 and 964

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

GCF of:
and

Greatest Common Factor of 963 and 964

GCF of 963 and 964 is 1

Prime Factorization of 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

Prime Factorization of 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

∴ So by taking common prime factors GCF of 963 and 964 is 1

Greatest Common Factor of 963 and 964 by matching factors method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors and prime factorization of 963 and 964. The biggest common factor number is the GCF number.
So the greatest common factor 963 and 964 is 1.

Also check out the Least Common Multiple of 963 and 964

Properties of GCF 963 and 964

(i) The GCF of 963 and 964 is associative

GCF of 963 and 964 = GCF of 964 and 963

Related Greatest Common Factor of 963

Related Greatest Common Factor of 964

Frequently Asked Questions on GCF of 963 and 964

1. What is the GCF of 963 and 964?

Answer: GCF of 963 and 964 is 1.

2. What are the Factors of 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

3. What are the Factors of 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

4. How to Find the GCF of 963 and 964?

Answer:

Greatest Common Factor of 963 and 964 = 1

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

Step 2: Find the prime factorization of 964

964 = 2 x 2 x 241

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 963 and 964 is 1