Greatest Common Factor of 88520 and 88528

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 88520, 88528 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 88520 and 88528 is 8.

GCF(88520,88528) = 8

GCF of 88520 and 88528

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

GCF of:
and

Greatest Common Factor of 88520 and 88528

GCF of 88520 and 88528 is 8

Prime Factorization of 88520


2 88520
2 44260
2 22130
5 11065
2213 2213
1

Prime factors of 88520 are 2,5,2213. Prime factorization of 88520 in exponential form is:

88520 = 23×51×22131

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

∴ So by taking common prime factors GCF of 88520 and 88528 is 8

Greatest Common Factor of 88520 and 88528 by matching factors method

Factors of 88520

List of positive integer factors of 88520 that divides 88520 without a remainder.

1,2,4,5,8,10,20,40,2213,4426,8852,11065,17704,22130,44260,88520

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

Greatest Common Factor

We found the factors and prime factorization of 88520 and 88528. The biggest common factor number is the GCF number.
So the greatest common factor 88520 and 88528 is 8.

Also check out the Least Common Multiple of 88520 and 88528

Properties of GCF 88520 and 88528

(i) The GCF of 88520 and 88528 is associative

GCF of 88520 and 88528 = GCF of 88528 and 88520

Related Greatest Common Factor of 88520

Related Greatest Common Factor of 88528

Frequently Asked Questions on GCF of 88520 and 88528

1. What is the GCF of 88520 and 88528?

Answer: GCF of 88520 and 88528 is 8.

2. What are the Factors of 88520?

Answer: Factors of 88520 are 1, 2, 4, 5, 8, 10, 20, 40, 2213, 4426, 8852, 11065, 17704, 22130, 44260, 88520. There are 16 integers that are factors of 88520. The greatest factor of 88520 is 88520.

3. 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.

4. How to Find the GCF of 88520 and 88528?

Answer:

Greatest Common Factor of 88520 and 88528 = 8

Step 1: Find the prime factorization of 88520

88520 = 2 x 2 x 2 x 5 x 2213

Step 2: Find the prime factorization of 88528

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

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 88520 and 88528 is 8