Greatest Common Factor of 8532 and 8538

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 8532, 8538 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8532 and 8538 is 6.

GCF(8532,8538) = 6

GCF of 8532 and 8538

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

GCF of:
and

Greatest Common Factor of 8532 and 8538

GCF of 8532 and 8538 is 6

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

Prime Factorization of 8538


2 8538
3 4269
1423 1423
1

Prime factors of 8538 are 2,3,1423. Prime factorization of 8538 in exponential form is:

8538 = 21×31×14231

∴ So by taking common prime factors GCF of 8532 and 8538 is 6

Greatest Common Factor of 8532 and 8538 by matching factors method

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

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Greatest Common Factor

We found the factors and prime factorization of 8532 and 8538. The biggest common factor number is the GCF number.
So the greatest common factor 8532 and 8538 is 6.

Also check out the Least Common Multiple of 8532 and 8538

Properties of GCF 8532 and 8538

(i) The GCF of 8532 and 8538 is associative

GCF of 8532 and 8538 = GCF of 8538 and 8532

Related Greatest Common Factor of 8532

Related Greatest Common Factor of 8538

Frequently Asked Questions on GCF of 8532 and 8538

1. What is the GCF of 8532 and 8538?

Answer: GCF of 8532 and 8538 is 6.

2. 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.

3. What are the Factors of 8538?

Answer: Factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538. There are 8 integers that are factors of 8538. The greatest factor of 8538 is 8538.

4. How to Find the GCF of 8532 and 8538?

Answer:

Greatest Common Factor of 8532 and 8538 = 6

Step 1: Find the prime factorization of 8532

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

Step 2: Find the prime factorization of 8538

8538 = 2 x 3 x 1423

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 8532 and 8538 is 6