Greatest Common Factor of 3528 and 3534

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, 3534 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3528 and 3534 is 6.

GCF(3528,3534) = 6

GCF of 3528 and 3534

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

GCF of:
and

Greatest Common Factor of 3528 and 3534

GCF of 3528 and 3534 is 6

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 3534


2 3534
3 1767
19 589
31 31
1

Prime factors of 3534 are 2,3,19,31. Prime factorization of 3534 in exponential form is:

3534 = 21×31×191×311

∴ So by taking common prime factors GCF of 3528 and 3534 is 6

Greatest Common Factor of 3528 and 3534 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 3534

List of positive integer factors of 3534 that divides 3534 without a remainder.

1,2,3,6,19,31,38,57,62,93,114,186,589,1178,1767,3534

Greatest Common Factor

We found the factors and prime factorization of 3528 and 3534. The biggest common factor number is the GCF number.
So the greatest common factor 3528 and 3534 is 6.

Also check out the Least Common Multiple of 3528 and 3534

Properties of GCF 3528 and 3534

(i) The GCF of 3528 and 3534 is associative

GCF of 3528 and 3534 = GCF of 3534 and 3528

Related Greatest Common Factor of 3528

Related Greatest Common Factor of 3534

Frequently Asked Questions on GCF of 3528 and 3534

1. What is the GCF of 3528 and 3534?

Answer: GCF of 3528 and 3534 is 6.

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 3534?

Answer: Factors of 3534 are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534. There are 16 integers that are factors of 3534. The greatest factor of 3534 is 3534.

4. How to Find the GCF of 3528 and 3534?

Answer:

Greatest Common Factor of 3528 and 3534 = 6

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 3534

3534 = 2 x 3 x 19 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3528 and 3534 is 6