Greatest Common Factor of 3612 and 3616

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 3612, 3616 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3612 and 3616 is 4.

GCF(3612,3616) = 4

GCF of 3612 and 3616

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

GCF of:
and

Greatest Common Factor of 3612 and 3616

GCF of 3612 and 3616 is 4

Prime Factorization of 3612


2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 3612 are 2,3,7,43. Prime factorization of 3612 in exponential form is:

3612 = 22×31×71×431

Prime Factorization of 3616


2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 3616 are 2,113. Prime factorization of 3616 in exponential form is:

3616 = 25×1131

∴ So by taking common prime factors GCF of 3612 and 3616 is 4

Greatest Common Factor of 3612 and 3616 by matching factors method

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612

Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1,2,4,8,16,32,113,226,452,904,1808,3616

Greatest Common Factor

We found the factors and prime factorization of 3612 and 3616. The biggest common factor number is the GCF number.
So the greatest common factor 3612 and 3616 is 4.

Also check out the Least Common Multiple of 3612 and 3616

Properties of GCF 3612 and 3616

(i) The GCF of 3612 and 3616 is associative

GCF of 3612 and 3616 = GCF of 3616 and 3612

Related Greatest Common Factor of 3612

Related Greatest Common Factor of 3616

Frequently Asked Questions on GCF of 3612 and 3616

1. What is the GCF of 3612 and 3616?

Answer: GCF of 3612 and 3616 is 4.

2. What are the Factors of 3612?

Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.

3. What are the Factors of 3616?

Answer: Factors of 3616 are 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616. There are 12 integers that are factors of 3616. The greatest factor of 3616 is 3616.

4. How to Find the GCF of 3612 and 3616?

Answer:

Greatest Common Factor of 3612 and 3616 = 4

Step 1: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 3616

3616 = 2 x 2 x 2 x 2 x 2 x 113

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 3612 and 3616 is 4