Greatest Common Factor of 4758 and 4762

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 4758, 4762 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4758 and 4762 is 2.

GCF(4758,4762) = 2

GCF of 4758 and 4762

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

GCF of:
and

Greatest Common Factor of 4758 and 4762

GCF of 4758 and 4762 is 2

Prime Factorization of 4758


2 4758
3 2379
13 793
61 61
1

Prime factors of 4758 are 2,3,13,61. Prime factorization of 4758 in exponential form is:

4758 = 21×31×131×611

Prime Factorization of 4762


2 4762
2381 2381
1

Prime factors of 4762 are 2,2381. Prime factorization of 4762 in exponential form is:

4762 = 21×23811

∴ So by taking common prime factors GCF of 4758 and 4762 is 2

Greatest Common Factor of 4758 and 4762 by matching factors method

Factors of 4758

List of positive integer factors of 4758 that divides 4758 without a remainder.

1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758

Factors of 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1,2,2381,4762

Greatest Common Factor

We found the factors and prime factorization of 4758 and 4762. The biggest common factor number is the GCF number.
So the greatest common factor 4758 and 4762 is 2.

Also check out the Least Common Multiple of 4758 and 4762

Properties of GCF 4758 and 4762

(i) The GCF of 4758 and 4762 is associative

GCF of 4758 and 4762 = GCF of 4762 and 4758

Related Greatest Common Factor of 4758

Related Greatest Common Factor of 4762

Frequently Asked Questions on GCF of 4758 and 4762

1. What is the GCF of 4758 and 4762?

Answer: GCF of 4758 and 4762 is 2.

2. What are the Factors of 4758?

Answer: Factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758. There are 16 integers that are factors of 4758. The greatest factor of 4758 is 4758.

3. What are the Factors of 4762?

Answer: Factors of 4762 are 1, 2, 2381, 4762. There are 4 integers that are factors of 4762. The greatest factor of 4762 is 4762.

4. How to Find the GCF of 4758 and 4762?

Answer:

Greatest Common Factor of 4758 and 4762 = 2

Step 1: Find the prime factorization of 4758

4758 = 2 x 3 x 13 x 61

Step 2: Find the prime factorization of 4762

4762 = 2 x 2381

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 4758 and 4762 is 2