Greatest Common Factor of 2698 and 2705

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 2698, 2705 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2698 and 2705 is 1.

GCF(2698,2705) = 1

GCF of 2698 and 2705

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

GCF of:
and

Greatest Common Factor of 2698 and 2705

GCF of 2698 and 2705 is 1

Prime Factorization of 2698


2 2698
19 1349
71 71
1

Prime factors of 2698 are 2,19,71. Prime factorization of 2698 in exponential form is:

2698 = 21×191×711

Prime Factorization of 2705


5 2705
541 541
1

Prime factors of 2705 are 5,541. Prime factorization of 2705 in exponential form is:

2705 = 51×5411

∴ So by taking common prime factors GCF of 2698 and 2705 is 1

Greatest Common Factor of 2698 and 2705 by matching factors method

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1,2,19,38,71,142,1349,2698

Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1,5,541,2705

Greatest Common Factor

We found the factors and prime factorization of 2698 and 2705. The biggest common factor number is the GCF number.
So the greatest common factor 2698 and 2705 is 1.

Also check out the Least Common Multiple of 2698 and 2705

Properties of GCF 2698 and 2705

(i) The GCF of 2698 and 2705 is associative

GCF of 2698 and 2705 = GCF of 2705 and 2698

Related Greatest Common Factor of 2698

Related Greatest Common Factor of 2705

Frequently Asked Questions on GCF of 2698 and 2705

1. What is the GCF of 2698 and 2705?

Answer: GCF of 2698 and 2705 is 1.

2. What are the Factors of 2698?

Answer: Factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698. There are 8 integers that are factors of 2698. The greatest factor of 2698 is 2698.

3. What are the Factors of 2705?

Answer: Factors of 2705 are 1, 5, 541, 2705. There are 4 integers that are factors of 2705. The greatest factor of 2705 is 2705.

4. How to Find the GCF of 2698 and 2705?

Answer:

Greatest Common Factor of 2698 and 2705 = 1

Step 1: Find the prime factorization of 2698

2698 = 2 x 19 x 71

Step 2: Find the prime factorization of 2705

2705 = 5 x 541

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 2698 and 2705 is 1