Greatest Common Factor of 4960 and 4962

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, 4962 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4960 and 4962 is 2.

GCF(4960,4962) = 2

GCF of 4960 and 4962

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

GCF of:
and

Greatest Common Factor of 4960 and 4962

GCF of 4960 and 4962 is 2

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 4962


2 4962
3 2481
827 827
1

Prime factors of 4962 are 2,3,827. Prime factorization of 4962 in exponential form is:

4962 = 21×31×8271

∴ So by taking common prime factors GCF of 4960 and 4962 is 2

Greatest Common Factor of 4960 and 4962 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 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Greatest Common Factor

We found the factors and prime factorization of 4960 and 4962. The biggest common factor number is the GCF number.
So the greatest common factor 4960 and 4962 is 2.

Also check out the Least Common Multiple of 4960 and 4962

Properties of GCF 4960 and 4962

(i) The GCF of 4960 and 4962 is associative

GCF of 4960 and 4962 = GCF of 4962 and 4960

Related Greatest Common Factor of 4960

Related Greatest Common Factor of 4962

Frequently Asked Questions on GCF of 4960 and 4962

1. What is the GCF of 4960 and 4962?

Answer: GCF of 4960 and 4962 is 2.

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 4962?

Answer: Factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962. There are 8 integers that are factors of 4962. The greatest factor of 4962 is 4962.

4. How to Find the GCF of 4960 and 4962?

Answer:

Greatest Common Factor of 4960 and 4962 = 2

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 4962

4962 = 2 x 3 x 827

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4960 and 4962 is 2