Greatest Common Factor of 4965 and 4969

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 4965, 4969 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4965 and 4969 is 1.

GCF(4965,4969) = 1

GCF of 4965 and 4969

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

GCF of:
and

Greatest Common Factor of 4965 and 4969

GCF of 4965 and 4969 is 1

Prime Factorization of 4965


3 4965
5 1655
331 331
1

Prime factors of 4965 are 3,5,331. Prime factorization of 4965 in exponential form is:

4965 = 31×51×3311

Prime Factorization of 4969


4969 4969
1

Prime factors of 4969 are 4969. Prime factorization of 4969 in exponential form is:

4969 = 49691

∴ So by taking common prime factors GCF of 4965 and 4969 is 1

Greatest Common Factor of 4965 and 4969 by matching factors method

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1,3,5,15,331,993,1655,4965

Factors of 4969

List of positive integer factors of 4969 that divides 4969 without a remainder.

1,4969

Greatest Common Factor

We found the factors and prime factorization of 4965 and 4969. The biggest common factor number is the GCF number.
So the greatest common factor 4965 and 4969 is 1.

Also check out the Least Common Multiple of 4965 and 4969

Properties of GCF 4965 and 4969

(i) The GCF of 4965 and 4969 is associative

GCF of 4965 and 4969 = GCF of 4969 and 4965

Related Greatest Common Factor of 4965

Related Greatest Common Factor of 4969

Frequently Asked Questions on GCF of 4965 and 4969

1. What is the GCF of 4965 and 4969?

Answer: GCF of 4965 and 4969 is 1.

2. What are the Factors of 4965?

Answer: Factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965. There are 8 integers that are factors of 4965. The greatest factor of 4965 is 4965.

3. What are the Factors of 4969?

Answer: Factors of 4969 are 1, 4969. There are 2 integers that are factors of 4969. The greatest factor of 4969 is 4969.

4. How to Find the GCF of 4965 and 4969?

Answer:

Greatest Common Factor of 4965 and 4969 = 1

Step 1: Find the prime factorization of 4965

4965 = 3 x 5 x 331

Step 2: Find the prime factorization of 4969

4969 = 4969

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 4965 and 4969 is 1