Greatest Common Factor of 4959 and 4960

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 4959, 4960 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4959 and 4960 is 1.

GCF(4959,4960) = 1

GCF of 4959 and 4960

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

GCF of:
and

Greatest Common Factor of 4959 and 4960

GCF of 4959 and 4960 is 1

Prime Factorization of 4959


3 4959
3 1653
19 551
29 29
1

Prime factors of 4959 are 3,19,29. Prime factorization of 4959 in exponential form is:

4959 = 32×191×291

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

∴ So by taking common prime factors GCF of 4959 and 4960 is 1

Greatest Common Factor of 4959 and 4960 by matching factors method

Factors of 4959

List of positive integer factors of 4959 that divides 4959 without a remainder.

1,3,9,19,29,57,87,171,261,551,1653,4959

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

Greatest Common Factor

We found the factors and prime factorization of 4959 and 4960. The biggest common factor number is the GCF number.
So the greatest common factor 4959 and 4960 is 1.

Also check out the Least Common Multiple of 4959 and 4960

Properties of GCF 4959 and 4960

(i) The GCF of 4959 and 4960 is associative

GCF of 4959 and 4960 = GCF of 4960 and 4959

Related Greatest Common Factor of 4959

Related Greatest Common Factor of 4960

Frequently Asked Questions on GCF of 4959 and 4960

1. What is the GCF of 4959 and 4960?

Answer: GCF of 4959 and 4960 is 1.

2. What are the Factors of 4959?

Answer: Factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959. There are 12 integers that are factors of 4959. The greatest factor of 4959 is 4959.

3. 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.

4. How to Find the GCF of 4959 and 4960?

Answer:

Greatest Common Factor of 4959 and 4960 = 1

Step 1: Find the prime factorization of 4959

4959 = 3 x 3 x 19 x 29

Step 2: Find the prime factorization of 4960

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

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 4959 and 4960 is 1