Greatest Common Factor of 2702 and 2708

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 2702, 2708 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2702 and 2708 is 2.

GCF(2702,2708) = 2

GCF of 2702 and 2708

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

GCF of:
and

Greatest Common Factor of 2702 and 2708

GCF of 2702 and 2708 is 2

Prime Factorization of 2702


2 2702
7 1351
193 193
1

Prime factors of 2702 are 2,7,193. Prime factorization of 2702 in exponential form is:

2702 = 21×71×1931

Prime Factorization of 2708


2 2708
2 1354
677 677
1

Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:

2708 = 22×6771

∴ So by taking common prime factors GCF of 2702 and 2708 is 2

Greatest Common Factor of 2702 and 2708 by matching factors method

Factors of 2702

List of positive integer factors of 2702 that divides 2702 without a remainder.

1,2,7,14,193,386,1351,2702

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Greatest Common Factor

We found the factors and prime factorization of 2702 and 2708. The biggest common factor number is the GCF number.
So the greatest common factor 2702 and 2708 is 2.

Also check out the Least Common Multiple of 2702 and 2708

Properties of GCF 2702 and 2708

(i) The GCF of 2702 and 2708 is associative

GCF of 2702 and 2708 = GCF of 2708 and 2702

Related Greatest Common Factor of 2702

Related Greatest Common Factor of 2708

Frequently Asked Questions on GCF of 2702 and 2708

1. What is the GCF of 2702 and 2708?

Answer: GCF of 2702 and 2708 is 2.

2. What are the Factors of 2702?

Answer: Factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702. There are 8 integers that are factors of 2702. The greatest factor of 2702 is 2702.

3. What are the Factors of 2708?

Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.

4. How to Find the GCF of 2702 and 2708?

Answer:

Greatest Common Factor of 2702 and 2708 = 2

Step 1: Find the prime factorization of 2702

2702 = 2 x 7 x 193

Step 2: Find the prime factorization of 2708

2708 = 2 x 2 x 677

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 2702 and 2708 is 2