Greatest Common Factor of 3698 and 3702

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 3698, 3702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3698 and 3702 is 2.

GCF(3698,3702) = 2

GCF of 3698 and 3702

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

GCF of:
and

Greatest Common Factor of 3698 and 3702

GCF of 3698 and 3702 is 2

Prime Factorization of 3698


2 3698
43 1849
43 43
1

Prime factors of 3698 are 2,43. Prime factorization of 3698 in exponential form is:

3698 = 21×432

Prime Factorization of 3702


2 3702
3 1851
617 617
1

Prime factors of 3702 are 2,3,617. Prime factorization of 3702 in exponential form is:

3702 = 21×31×6171

∴ So by taking common prime factors GCF of 3698 and 3702 is 2

Greatest Common Factor of 3698 and 3702 by matching factors method

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1,2,43,86,1849,3698

Factors of 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1,2,3,6,617,1234,1851,3702

Greatest Common Factor

We found the factors and prime factorization of 3698 and 3702. The biggest common factor number is the GCF number.
So the greatest common factor 3698 and 3702 is 2.

Also check out the Least Common Multiple of 3698 and 3702

Properties of GCF 3698 and 3702

(i) The GCF of 3698 and 3702 is associative

GCF of 3698 and 3702 = GCF of 3702 and 3698

Related Greatest Common Factor of 3698

Related Greatest Common Factor of 3702

Frequently Asked Questions on GCF of 3698 and 3702

1. What is the GCF of 3698 and 3702?

Answer: GCF of 3698 and 3702 is 2.

2. What are the Factors of 3698?

Answer: Factors of 3698 are 1, 2, 43, 86, 1849, 3698. There are 6 integers that are factors of 3698. The greatest factor of 3698 is 3698.

3. What are the Factors of 3702?

Answer: Factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702. There are 8 integers that are factors of 3702. The greatest factor of 3702 is 3702.

4. How to Find the GCF of 3698 and 3702?

Answer:

Greatest Common Factor of 3698 and 3702 = 2

Step 1: Find the prime factorization of 3698

3698 = 2 x 43 x 43

Step 2: Find the prime factorization of 3702

3702 = 2 x 3 x 617

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 3698 and 3702 is 2