Greatest Common Factor of 7798 and 7802

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 7798, 7802 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7798 and 7802 is 2.

GCF(7798,7802) = 2

GCF of 7798 and 7802

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

GCF of:
and

Greatest Common Factor of 7798 and 7802

GCF of 7798 and 7802 is 2

Prime Factorization of 7798


2 7798
7 3899
557 557
1

Prime factors of 7798 are 2,7,557. Prime factorization of 7798 in exponential form is:

7798 = 21×71×5571

Prime Factorization of 7802


2 7802
47 3901
83 83
1

Prime factors of 7802 are 2,47,83. Prime factorization of 7802 in exponential form is:

7802 = 21×471×831

∴ So by taking common prime factors GCF of 7798 and 7802 is 2

Greatest Common Factor of 7798 and 7802 by matching factors method

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1,2,7,14,557,1114,3899,7798

Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1,2,47,83,94,166,3901,7802

Greatest Common Factor

We found the factors and prime factorization of 7798 and 7802. The biggest common factor number is the GCF number.
So the greatest common factor 7798 and 7802 is 2.

Also check out the Least Common Multiple of 7798 and 7802

Properties of GCF 7798 and 7802

(i) The GCF of 7798 and 7802 is associative

GCF of 7798 and 7802 = GCF of 7802 and 7798

Related Greatest Common Factor of 7798

Related Greatest Common Factor of 7802

Frequently Asked Questions on GCF of 7798 and 7802

1. What is the GCF of 7798 and 7802?

Answer: GCF of 7798 and 7802 is 2.

2. What are the Factors of 7798?

Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.

3. What are the Factors of 7802?

Answer: Factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802. There are 8 integers that are factors of 7802. The greatest factor of 7802 is 7802.

4. How to Find the GCF of 7798 and 7802?

Answer:

Greatest Common Factor of 7798 and 7802 = 2

Step 1: Find the prime factorization of 7798

7798 = 2 x 7 x 557

Step 2: Find the prime factorization of 7802

7802 = 2 x 47 x 83

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 7798 and 7802 is 2