Greatest Common Factor of 88528 and 88536

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 88528, 88536 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 88528 and 88536 is 8.

GCF(88528,88536) = 8

GCF of 88528 and 88536

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

GCF of:
and

Greatest Common Factor of 88528 and 88536

GCF of 88528 and 88536 is 8

Prime Factorization of 88528


2 88528
2 44264
2 22132
2 11066
11 5533
503 503
1

Prime factors of 88528 are 2,11,503. Prime factorization of 88528 in exponential form is:

88528 = 24×111×5031

Prime Factorization of 88536


2 88536
2 44268
2 22134
3 11067
7 3689
17 527
31 31
1

Prime factors of 88536 are 2,3,7,17,31. Prime factorization of 88536 in exponential form is:

88536 = 23×31×71×171×311

∴ So by taking common prime factors GCF of 88528 and 88536 is 8

Greatest Common Factor of 88528 and 88536 by matching factors method

Factors of 88528

List of positive integer factors of 88528 that divides 88528 without a remainder.

1,2,4,8,11,16,22,44,88,176,503,1006,2012,4024,5533,8048,11066,22132,44264,88528

Factors of 88536

List of positive integer factors of 88536 that divides 88536 without a remainder.

1,2,3,4,6,7,8,12,14,17,21,24,28,31,34,42,51,56,62,68,84,93,102,119,124,136,168,186,204,217,238,248,357,372,408,434,476,527,651,714,744,868,952,1054,1302,1428,1581,1736,2108,2604,2856,3162,3689,4216,5208,6324,7378,11067,12648,14756,22134,29512,44268,88536

Greatest Common Factor

We found the factors and prime factorization of 88528 and 88536. The biggest common factor number is the GCF number.
So the greatest common factor 88528 and 88536 is 8.

Also check out the Least Common Multiple of 88528 and 88536

Properties of GCF 88528 and 88536

(i) The GCF of 88528 and 88536 is associative

GCF of 88528 and 88536 = GCF of 88536 and 88528

Related Greatest Common Factor of 88528

Related Greatest Common Factor of 88536

Frequently Asked Questions on GCF of 88528 and 88536

1. What is the GCF of 88528 and 88536?

Answer: GCF of 88528 and 88536 is 8.

2. What are the Factors of 88528?

Answer: Factors of 88528 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264, 88528. There are 20 integers that are factors of 88528. The greatest factor of 88528 is 88528.

3. What are the Factors of 88536?

Answer: Factors of 88536 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 31, 34, 42, 51, 56, 62, 68, 84, 93, 102, 119, 124, 136, 168, 186, 204, 217, 238, 248, 357, 372, 408, 434, 476, 527, 651, 714, 744, 868, 952, 1054, 1302, 1428, 1581, 1736, 2108, 2604, 2856, 3162, 3689, 4216, 5208, 6324, 7378, 11067, 12648, 14756, 22134, 29512, 44268, 88536. There are 64 integers that are factors of 88536. The greatest factor of 88536 is 88536.

4. How to Find the GCF of 88528 and 88536?

Answer:

Greatest Common Factor of 88528 and 88536 = 8

Step 1: Find the prime factorization of 88528

88528 = 2 x 2 x 2 x 2 x 11 x 503

Step 2: Find the prime factorization of 88536

88536 = 2 x 2 x 2 x 3 x 7 x 17 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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 88528 and 88536 is 8