Greatest Common Factor of 3528 and 3535

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, 3535 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3528 and 3535 is 7.

GCF(3528,3535) = 7

GCF of 3528 and 3535

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

GCF of:
and

Greatest Common Factor of 3528 and 3535

GCF of 3528 and 3535 is 7

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 3535


5 3535
7 707
101 101
1

Prime factors of 3535 are 5,7,101. Prime factorization of 3535 in exponential form is:

3535 = 51×71×1011

∴ So by taking common prime factors GCF of 3528 and 3535 is 7

Greatest Common Factor of 3528 and 3535 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 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1,5,7,35,101,505,707,3535

Greatest Common Factor

We found the factors and prime factorization of 3528 and 3535. The biggest common factor number is the GCF number.
So the greatest common factor 3528 and 3535 is 7.

Also check out the Least Common Multiple of 3528 and 3535

Properties of GCF 3528 and 3535

(i) The GCF of 3528 and 3535 is associative

GCF of 3528 and 3535 = GCF of 3535 and 3528

Related Greatest Common Factor of 3528

Related Greatest Common Factor of 3535

Frequently Asked Questions on GCF of 3528 and 3535

1. What is the GCF of 3528 and 3535?

Answer: GCF of 3528 and 3535 is 7.

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 3535?

Answer: Factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535. There are 8 integers that are factors of 3535. The greatest factor of 3535 is 3535.

4. How to Find the GCF of 3528 and 3535?

Answer:

Greatest Common Factor of 3528 and 3535 = 7

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 3535

3535 = 5 x 7 x 101

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 3528 and 3535 is 7