Greatest Common Factor of 965 and 967

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 965, 967 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 965 and 967 is 1.

GCF(965,967) = 1

GCF of 965 and 967

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

GCF of:
and

Greatest Common Factor of 965 and 967

GCF of 965 and 967 is 1

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

Prime Factorization of 967


967 967
1

Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:

967 = 9671

∴ So by taking common prime factors GCF of 965 and 967 is 1

Greatest Common Factor of 965 and 967 by matching factors method

Factors of 965

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

1,5,193,965

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors and prime factorization of 965 and 967. The biggest common factor number is the GCF number.
So the greatest common factor 965 and 967 is 1.

Also check out the Least Common Multiple of 965 and 967

Properties of GCF 965 and 967

(i) The GCF of 965 and 967 is associative

GCF of 965 and 967 = GCF of 967 and 965

Related Greatest Common Factor of 965

Related Greatest Common Factor of 967

Frequently Asked Questions on GCF of 965 and 967

1. What is the GCF of 965 and 967?

Answer: GCF of 965 and 967 is 1.

2. 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.

3. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

4. How to Find the GCF of 965 and 967?

Answer:

Greatest Common Factor of 965 and 967 = 1

Step 1: Find the prime factorization of 965

965 = 5 x 193

Step 2: Find the prime factorization of 967

967 = 967

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 965 and 967 is 1