Greatest Common Factor of 4960 and 4965

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 4960, 4965 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4960 and 4965 is 5.

GCF(4960,4965) = 5

GCF of 4960 and 4965

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

GCF of:
and

Greatest Common Factor of 4960 and 4965

GCF of 4960 and 4965 is 5

Prime Factorization of 4960


2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 4960 are 2,5,31. Prime factorization of 4960 in exponential form is:

4960 = 25×51×311

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

∴ So by taking common prime factors GCF of 4960 and 4965 is 5

Greatest Common Factor of 4960 and 4965 by matching factors method

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Factors of 4965

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

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

Greatest Common Factor

We found the factors and prime factorization of 4960 and 4965. The biggest common factor number is the GCF number.
So the greatest common factor 4960 and 4965 is 5.

Also check out the Least Common Multiple of 4960 and 4965

Properties of GCF 4960 and 4965

(i) The GCF of 4960 and 4965 is associative

GCF of 4960 and 4965 = GCF of 4965 and 4960

Related Greatest Common Factor of 4960

Related Greatest Common Factor of 4965

Frequently Asked Questions on GCF of 4960 and 4965

1. What is the GCF of 4960 and 4965?

Answer: GCF of 4960 and 4965 is 5.

2. What are the Factors of 4960?

Answer: Factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960. There are 24 integers that are factors of 4960. The greatest factor of 4960 is 4960.

3. 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.

4. How to Find the GCF of 4960 and 4965?

Answer:

Greatest Common Factor of 4960 and 4965 = 5

Step 1: Find the prime factorization of 4960

4960 = 2 x 2 x 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 4965

4965 = 3 x 5 x 331

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4960 and 4965 is 5