Greatest Common Factor of 2698 and 2701

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, 2701 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2698 and 2701 is 1.

GCF(2698,2701) = 1

GCF of 2698 and 2701

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

GCF of:
and

Greatest Common Factor of 2698 and 2701

GCF of 2698 and 2701 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 2701


37 2701
73 73
1

Prime factors of 2701 are 37,73. Prime factorization of 2701 in exponential form is:

2701 = 371×731

∴ So by taking common prime factors GCF of 2698 and 2701 is 1

Greatest Common Factor of 2698 and 2701 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 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1,37,73,2701

Greatest Common Factor

We found the factors and prime factorization of 2698 and 2701. The biggest common factor number is the GCF number.
So the greatest common factor 2698 and 2701 is 1.

Also check out the Least Common Multiple of 2698 and 2701

Properties of GCF 2698 and 2701

(i) The GCF of 2698 and 2701 is associative

GCF of 2698 and 2701 = GCF of 2701 and 2698

Related Greatest Common Factor of 2698

Related Greatest Common Factor of 2701

Frequently Asked Questions on GCF of 2698 and 2701

1. What is the GCF of 2698 and 2701?

Answer: GCF of 2698 and 2701 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 2701?

Answer: Factors of 2701 are 1, 37, 73, 2701. There are 4 integers that are factors of 2701. The greatest factor of 2701 is 2701.

4. How to Find the GCF of 2698 and 2701?

Answer:

Greatest Common Factor of 2698 and 2701 = 1

Step 1: Find the prime factorization of 2698

2698 = 2 x 19 x 71

Step 2: Find the prime factorization of 2701

2701 = 37 x 73

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 2701 is 1