Greatest Common Factor of 3688 and 3692

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 3688, 3692 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3688 and 3692 is 4.

GCF(3688,3692) = 4

GCF of 3688 and 3692

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

GCF of:
and

Greatest Common Factor of 3688 and 3692

GCF of 3688 and 3692 is 4

Prime Factorization of 3688


2 3688
2 1844
2 922
461 461
1

Prime factors of 3688 are 2,461. Prime factorization of 3688 in exponential form is:

3688 = 23×4611

Prime Factorization of 3692


2 3692
2 1846
13 923
71 71
1

Prime factors of 3692 are 2,13,71. Prime factorization of 3692 in exponential form is:

3692 = 22×131×711

∴ So by taking common prime factors GCF of 3688 and 3692 is 4

Greatest Common Factor of 3688 and 3692 by matching factors method

Factors of 3688

List of positive integer factors of 3688 that divides 3688 without a remainder.

1,2,4,8,461,922,1844,3688

Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1,2,4,13,26,52,71,142,284,923,1846,3692

Greatest Common Factor

We found the factors and prime factorization of 3688 and 3692. The biggest common factor number is the GCF number.
So the greatest common factor 3688 and 3692 is 4.

Also check out the Least Common Multiple of 3688 and 3692

Properties of GCF 3688 and 3692

(i) The GCF of 3688 and 3692 is associative

GCF of 3688 and 3692 = GCF of 3692 and 3688

Related Greatest Common Factor of 3688

Related Greatest Common Factor of 3692

Frequently Asked Questions on GCF of 3688 and 3692

1. What is the GCF of 3688 and 3692?

Answer: GCF of 3688 and 3692 is 4.

2. What are the Factors of 3688?

Answer: Factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688. There are 8 integers that are factors of 3688. The greatest factor of 3688 is 3688.

3. What are the Factors of 3692?

Answer: Factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692. There are 12 integers that are factors of 3692. The greatest factor of 3692 is 3692.

4. How to Find the GCF of 3688 and 3692?

Answer:

Greatest Common Factor of 3688 and 3692 = 4

Step 1: Find the prime factorization of 3688

3688 = 2 x 2 x 2 x 461

Step 2: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3688 and 3692 is 4