Greatest Common Factor of 3528 and 3536

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 3528, 3536 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3528 and 3536 is 8.

GCF(3528,3536) = 8

GCF of 3528 and 3536

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

GCF of:
and

Greatest Common Factor of 3528 and 3536

GCF of 3528 and 3536 is 8

Prime Factorization of 3528


2 3528
2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 3528 are 2,3,7. Prime factorization of 3528 in exponential form is:

3528 = 23×32×72

Prime Factorization of 3536


2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 3536 are 2,13,17. Prime factorization of 3536 in exponential form is:

3536 = 24×131×171

∴ So by taking common prime factors GCF of 3528 and 3536 is 8

Greatest Common Factor of 3528 and 3536 by matching factors method

Factors of 3528

List of positive integer factors of 3528 that divides 3528 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536

Greatest Common Factor

We found the factors and prime factorization of 3528 and 3536. The biggest common factor number is the GCF number.
So the greatest common factor 3528 and 3536 is 8.

Also check out the Least Common Multiple of 3528 and 3536

Properties of GCF 3528 and 3536

(i) The GCF of 3528 and 3536 is associative

GCF of 3528 and 3536 = GCF of 3536 and 3528

Related Greatest Common Factor of 3528

Related Greatest Common Factor of 3536

Frequently Asked Questions on GCF of 3528 and 3536

1. What is the GCF of 3528 and 3536?

Answer: GCF of 3528 and 3536 is 8.

2. What are the Factors of 3528?

Answer: Factors of 3528 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528. There are 36 integers that are factors of 3528. The greatest factor of 3528 is 3528.

3. What are the Factors of 3536?

Answer: Factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536. There are 20 integers that are factors of 3536. The greatest factor of 3536 is 3536.

4. How to Find the GCF of 3528 and 3536?

Answer:

Greatest Common Factor of 3528 and 3536 = 8

Step 1: Find the prime factorization of 3528

3528 = 2 x 2 x 2 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 3536

3536 = 2 x 2 x 2 x 2 x 13 x 17

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3528 and 3536 is 8