Greatest Common Factor of 963 and 965

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

Greatest common factor (GCF) of 963 and 965 is 1.

GCF(963,965) = 1

GCF of 963 and 965

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

GCF of:
and

Greatest Common Factor of 963 and 965

GCF of 963 and 965 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 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

∴ So by taking common prime factors GCF of 963 and 965 is 1

Greatest Common Factor of 963 and 965 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 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors and prime factorization of 963 and 965. The biggest common factor number is the GCF number.
So the greatest common factor 963 and 965 is 1.

Also check out the Least Common Multiple of 963 and 965

Properties of GCF 963 and 965

(i) The GCF of 963 and 965 is associative

GCF of 963 and 965 = GCF of 965 and 963

Related Greatest Common Factor of 963

Related Greatest Common Factor of 965

Frequently Asked Questions on GCF of 963 and 965

1. What is the GCF of 963 and 965?

Answer: GCF of 963 and 965 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 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

4. How to Find the GCF of 963 and 965?

Answer:

Greatest Common Factor of 963 and 965 = 1

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

Step 2: Find the prime factorization of 965

965 = 5 x 193

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 965 is 1