Greatest Common Factor of 3720 and 3722

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 3720, 3722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3720 and 3722 is 2.

GCF(3720,3722) = 2

GCF of 3720 and 3722

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

GCF of:
and

Greatest Common Factor of 3720 and 3722

GCF of 3720 and 3722 is 2

Prime Factorization of 3720


2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 3720 are 2,3,5,31. Prime factorization of 3720 in exponential form is:

3720 = 23×31×51×311

Prime Factorization of 3722


2 3722
1861 1861
1

Prime factors of 3722 are 2,1861. Prime factorization of 3722 in exponential form is:

3722 = 21×18611

∴ So by taking common prime factors GCF of 3720 and 3722 is 2

Greatest Common Factor of 3720 and 3722 by matching factors method

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Factors of 3722

List of positive integer factors of 3722 that divides 3722 without a remainder.

1,2,1861,3722

Greatest Common Factor

We found the factors and prime factorization of 3720 and 3722. The biggest common factor number is the GCF number.
So the greatest common factor 3720 and 3722 is 2.

Also check out the Least Common Multiple of 3720 and 3722

Properties of GCF 3720 and 3722

(i) The GCF of 3720 and 3722 is associative

GCF of 3720 and 3722 = GCF of 3722 and 3720

Related Greatest Common Factor of 3720

Related Greatest Common Factor of 3722

Frequently Asked Questions on GCF of 3720 and 3722

1. What is the GCF of 3720 and 3722?

Answer: GCF of 3720 and 3722 is 2.

2. What are the Factors of 3720?

Answer: Factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720. There are 32 integers that are factors of 3720. The greatest factor of 3720 is 3720.

3. What are the Factors of 3722?

Answer: Factors of 3722 are 1, 2, 1861, 3722. There are 4 integers that are factors of 3722. The greatest factor of 3722 is 3722.

4. How to Find the GCF of 3720 and 3722?

Answer:

Greatest Common Factor of 3720 and 3722 = 2

Step 1: Find the prime factorization of 3720

3720 = 2 x 2 x 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 3722

3722 = 2 x 1861

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 3720 and 3722 is 2