Greatest Common Factor of 3769 and 3772

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 3769, 3772 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3769 and 3772 is 1.

GCF(3769,3772) = 1

GCF of 3769 and 3772

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

GCF of:
and

Greatest Common Factor of 3769 and 3772

GCF of 3769 and 3772 is 1

Prime Factorization of 3769


3769 3769
1

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 37691

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2.Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

∴ So by taking common prime factors GCF of 3769 and 3772 is 1

Greatest Common Factor of 3769 and 3772 by matching factors method

Factors of 3769

List of positive integer factors of 3769 that divides 3769 without a remainder.

1,3769

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1,2,4,23,41,46,82,92,164,943,1886,3772

Greatest Common Factor

We found the factors and prime factorization of 3769 and 3772. The biggest common factor number is the GCF number.
So the greatest common factor 3769 and 3772 is 1.

Also check out the Least Common Multiple of 3769 and 3772

Properties of GCF 3769 and 3772

(i) The GCF of 3769 and 3772 is associative

GCF of 3769 and 3772 = GCF of 3772 and 3769

Related Greatest Common Factor of 3769

Related Greatest Common Factor of 3772

Frequently Asked Questions on GCF of 3769 and 3772

1. What is the GCF of 3769 and 3772?

Answer: GCF of 3769 and 3772 is 1.

2. What are the Factors of 3769?

Answer: Factors of 3769 are 1, 3769. There are 2 integers that are factors of 3769. The greatest factor of 3769 is 3769.

3. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

4. How to Find the GCF of 3769 and 3772?

Answer:

Greatest Common Factor of 3769 and 3772 = 1

Step 1: Find the prime factorization of 3769

3769 = 3769

Step 2: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

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 3769 and 3772 is 1