Greatest Common Factor of 962 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 962, 965 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 962 and 965 is 1.

GCF(962,965) = 1

GCF of 962 and 965

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

GCF of:
and

Greatest Common Factor of 962 and 965

GCF of 962 and 965 is 1

Prime Factorization of 962


2 962
13 481
37 37
1

Prime factors of 962 are 2,13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

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 962 and 965 is 1

Greatest Common Factor of 962 and 965 by matching factors method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

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 962 and 965. The biggest common factor number is the GCF number.
So the greatest common factor 962 and 965 is 1.

Also check out the Least Common Multiple of 962 and 965

Properties of GCF 962 and 965

(i) The GCF of 962 and 965 is associative

GCF of 962 and 965 = GCF of 965 and 962

Related Greatest Common Factor of 962

Related Greatest Common Factor of 965

Frequently Asked Questions on GCF of 962 and 965

1. What is the GCF of 962 and 965?

Answer: GCF of 962 and 965 is 1.

2. What are the Factors of 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

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 962 and 965?

Answer:

Greatest Common Factor of 962 and 965 = 1

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

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 962 and 965 is 1