Greatest Common Factor of 3672 and 3677

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 3672, 3677 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3672 and 3677 is 1.

GCF(3672,3677) = 1

GCF of 3672 and 3677

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

GCF of:
and

Greatest Common Factor of 3672 and 3677

GCF of 3672 and 3677 is 1

Prime Factorization of 3672


2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 3672 are 2,3,17. Prime factorization of 3672 in exponential form is:

3672 = 23×33×171

Prime Factorization of 3677


3677 3677
1

Prime factors of 3677 are 3677. Prime factorization of 3677 in exponential form is:

3677 = 36771

∴ So by taking common prime factors GCF of 3672 and 3677 is 1

Greatest Common Factor of 3672 and 3677 by matching factors method

Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672

Factors of 3677

List of positive integer factors of 3677 that divides 3677 without a remainder.

1,3677

Greatest Common Factor

We found the factors and prime factorization of 3672 and 3677. The biggest common factor number is the GCF number.
So the greatest common factor 3672 and 3677 is 1.

Also check out the Least Common Multiple of 3672 and 3677

Properties of GCF 3672 and 3677

(i) The GCF of 3672 and 3677 is associative

GCF of 3672 and 3677 = GCF of 3677 and 3672

Related Greatest Common Factor of 3672

Related Greatest Common Factor of 3677

Frequently Asked Questions on GCF of 3672 and 3677

1. What is the GCF of 3672 and 3677?

Answer: GCF of 3672 and 3677 is 1.

2. What are the Factors of 3672?

Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.

3. What are the Factors of 3677?

Answer: Factors of 3677 are 1, 3677. There are 2 integers that are factors of 3677. The greatest factor of 3677 is 3677.

4. How to Find the GCF of 3672 and 3677?

Answer:

Greatest Common Factor of 3672 and 3677 = 1

Step 1: Find the prime factorization of 3672

3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 3677

3677 = 3677

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 3672 and 3677 is 1