Greatest Common Factor of 3528 and 3532

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, 3532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3528 and 3532 is 4.

GCF(3528,3532) = 4

GCF of 3528 and 3532

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

GCF of:
and

Greatest Common Factor of 3528 and 3532

GCF of 3528 and 3532 is 4

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 3532


2 3532
2 1766
883 883
1

Prime factors of 3532 are 2,883. Prime factorization of 3532 in exponential form is:

3532 = 22×8831

∴ So by taking common prime factors GCF of 3528 and 3532 is 4

Greatest Common Factor of 3528 and 3532 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 3532

List of positive integer factors of 3532 that divides 3532 without a remainder.

1,2,4,883,1766,3532

Greatest Common Factor

We found the factors and prime factorization of 3528 and 3532. The biggest common factor number is the GCF number.
So the greatest common factor 3528 and 3532 is 4.

Also check out the Least Common Multiple of 3528 and 3532

Properties of GCF 3528 and 3532

(i) The GCF of 3528 and 3532 is associative

GCF of 3528 and 3532 = GCF of 3532 and 3528

Related Greatest Common Factor of 3528

Related Greatest Common Factor of 3532

Frequently Asked Questions on GCF of 3528 and 3532

1. What is the GCF of 3528 and 3532?

Answer: GCF of 3528 and 3532 is 4.

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 3532?

Answer: Factors of 3532 are 1, 2, 4, 883, 1766, 3532. There are 6 integers that are factors of 3532. The greatest factor of 3532 is 3532.

4. How to Find the GCF of 3528 and 3532?

Answer:

Greatest Common Factor of 3528 and 3532 = 4

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 3532

3532 = 2 x 2 x 883

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 3528 and 3532 is 4