Greatest Common Factor of 7524 and 7532

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 7524, 7532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7524 and 7532 is 4.

GCF(7524,7532) = 4

GCF of 7524 and 7532

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

GCF of:
and

Greatest Common Factor of 7524 and 7532

GCF of 7524 and 7532 is 4

Prime Factorization of 7524


2 7524
2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 7524 are 2,3,11,19. Prime factorization of 7524 in exponential form is:

7524 = 22×32×111×191

Prime Factorization of 7532


2 7532
2 3766
7 1883
269 269
1

Prime factors of 7532 are 2,7,269. Prime factorization of 7532 in exponential form is:

7532 = 22×71×2691

∴ So by taking common prime factors GCF of 7524 and 7532 is 4

Greatest Common Factor of 7524 and 7532 by matching factors method

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Greatest Common Factor

We found the factors and prime factorization of 7524 and 7532. The biggest common factor number is the GCF number.
So the greatest common factor 7524 and 7532 is 4.

Also check out the Least Common Multiple of 7524 and 7532

Properties of GCF 7524 and 7532

(i) The GCF of 7524 and 7532 is associative

GCF of 7524 and 7532 = GCF of 7532 and 7524

Related Greatest Common Factor of 7524

Related Greatest Common Factor of 7532

Frequently Asked Questions on GCF of 7524 and 7532

1. What is the GCF of 7524 and 7532?

Answer: GCF of 7524 and 7532 is 4.

2. What are the Factors of 7524?

Answer: Factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524. There are 36 integers that are factors of 7524. The greatest factor of 7524 is 7524.

3. What are the Factors of 7532?

Answer: Factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532. There are 12 integers that are factors of 7532. The greatest factor of 7532 is 7532.

4. How to Find the GCF of 7524 and 7532?

Answer:

Greatest Common Factor of 7524 and 7532 = 4

Step 1: Find the prime factorization of 7524

7524 = 2 x 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 7532

7532 = 2 x 2 x 7 x 269

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 7524 and 7532 is 4