Greatest Common Factor of 8524 and 8532

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 8524, 8532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8524 and 8532 is 4.

GCF(8524,8532) = 4

GCF of 8524 and 8532

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

GCF of:
and

Greatest Common Factor of 8524 and 8532

GCF of 8524 and 8532 is 4

Prime Factorization of 8524


2 8524
2 4262
2131 2131
1

Prime factors of 8524 are 2,2131. Prime factorization of 8524 in exponential form is:

8524 = 22×21311

Prime Factorization of 8532


2 8532
2 4266
3 2133
3 711
3 237
79 79
1

Prime factors of 8532 are 2,3,79. Prime factorization of 8532 in exponential form is:

8532 = 22×33×791

∴ So by taking common prime factors GCF of 8524 and 8532 is 4

Greatest Common Factor of 8524 and 8532 by matching factors method

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1,2,4,2131,4262,8524

Factors of 8532

List of positive integer factors of 8532 that divides 8532 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532

Greatest Common Factor

We found the factors and prime factorization of 8524 and 8532. The biggest common factor number is the GCF number.
So the greatest common factor 8524 and 8532 is 4.

Also check out the Least Common Multiple of 8524 and 8532

Properties of GCF 8524 and 8532

(i) The GCF of 8524 and 8532 is associative

GCF of 8524 and 8532 = GCF of 8532 and 8524

Related Greatest Common Factor of 8524

Related Greatest Common Factor of 8532

Frequently Asked Questions on GCF of 8524 and 8532

1. What is the GCF of 8524 and 8532?

Answer: GCF of 8524 and 8532 is 4.

2. What are the Factors of 8524?

Answer: Factors of 8524 are 1, 2, 4, 2131, 4262, 8524. There are 6 integers that are factors of 8524. The greatest factor of 8524 is 8524.

3. What are the Factors of 8532?

Answer: Factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532. There are 24 integers that are factors of 8532. The greatest factor of 8532 is 8532.

4. How to Find the GCF of 8524 and 8532?

Answer:

Greatest Common Factor of 8524 and 8532 = 4

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8532

8532 = 2 x 2 x 3 x 3 x 3 x 79

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 8524 and 8532 is 4