Greatest Common Factor of 3521 and 3528

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 3521, 3528 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3521 and 3528 is 7.

GCF(3521,3528) = 7

GCF of 3521 and 3528

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

GCF of:
and

Greatest Common Factor of 3521 and 3528

GCF of 3521 and 3528 is 7

Prime Factorization of 3521


7 3521
503 503
1

Prime factors of 3521 are 7,503. Prime factorization of 3521 in exponential form is:

3521 = 71×5031

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

∴ So by taking common prime factors GCF of 3521 and 3528 is 7

Greatest Common Factor of 3521 and 3528 by matching factors method

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1,7,503,3521

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

Greatest Common Factor

We found the factors and prime factorization of 3521 and 3528. The biggest common factor number is the GCF number.
So the greatest common factor 3521 and 3528 is 7.

Also check out the Least Common Multiple of 3521 and 3528

Properties of GCF 3521 and 3528

(i) The GCF of 3521 and 3528 is associative

GCF of 3521 and 3528 = GCF of 3528 and 3521

Related Greatest Common Factor of 3521

Related Greatest Common Factor of 3528

Frequently Asked Questions on GCF of 3521 and 3528

1. What is the GCF of 3521 and 3528?

Answer: GCF of 3521 and 3528 is 7.

2. What are the Factors of 3521?

Answer: Factors of 3521 are 1, 7, 503, 3521. There are 4 integers that are factors of 3521. The greatest factor of 3521 is 3521.

3. 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.

4. How to Find the GCF of 3521 and 3528?

Answer:

Greatest Common Factor of 3521 and 3528 = 7

Step 1: Find the prime factorization of 3521

3521 = 7 x 503

Step 2: Find the prime factorization of 3528

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

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3521 and 3528 is 7