Greatest Common Factor of 89120 and 89128

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 89120, 89128 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89120 and 89128 is 8.

GCF(89120,89128) = 8

GCF of 89120 and 89128

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

GCF of:
and

Greatest Common Factor of 89120 and 89128

GCF of 89120 and 89128 is 8

Prime Factorization of 89120


2 89120
2 44560
2 22280
2 11140
2 5570
5 2785
557 557
1

Prime factors of 89120 are 2,5,557. Prime factorization of 89120 in exponential form is:

89120 = 25×51×5571

Prime Factorization of 89128


2 89128
2 44564
2 22282
13 11141
857 857
1

Prime factors of 89128 are 2,13,857. Prime factorization of 89128 in exponential form is:

89128 = 23×131×8571

∴ So by taking common prime factors GCF of 89120 and 89128 is 8

Greatest Common Factor of 89120 and 89128 by matching factors method

Factors of 89120

List of positive integer factors of 89120 that divides 89120 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,557,1114,2228,2785,4456,5570,8912,11140,17824,22280,44560,89120

Factors of 89128

List of positive integer factors of 89128 that divides 89128 without a remainder.

1,2,4,8,13,26,52,104,857,1714,3428,6856,11141,22282,44564,89128

Greatest Common Factor

We found the factors and prime factorization of 89120 and 89128. The biggest common factor number is the GCF number.
So the greatest common factor 89120 and 89128 is 8.

Also check out the Least Common Multiple of 89120 and 89128

Properties of GCF 89120 and 89128

(i) The GCF of 89120 and 89128 is associative

GCF of 89120 and 89128 = GCF of 89128 and 89120

Related Greatest Common Factor of 89120

Related Greatest Common Factor of 89128

Frequently Asked Questions on GCF of 89120 and 89128

1. What is the GCF of 89120 and 89128?

Answer: GCF of 89120 and 89128 is 8.

2. What are the Factors of 89120?

Answer: Factors of 89120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 557, 1114, 2228, 2785, 4456, 5570, 8912, 11140, 17824, 22280, 44560, 89120. There are 24 integers that are factors of 89120. The greatest factor of 89120 is 89120.

3. What are the Factors of 89128?

Answer: Factors of 89128 are 1, 2, 4, 8, 13, 26, 52, 104, 857, 1714, 3428, 6856, 11141, 22282, 44564, 89128. There are 16 integers that are factors of 89128. The greatest factor of 89128 is 89128.

4. How to Find the GCF of 89120 and 89128?

Answer:

Greatest Common Factor of 89120 and 89128 = 8

Step 1: Find the prime factorization of 89120

89120 = 2 x 2 x 2 x 2 x 2 x 5 x 557

Step 2: Find the prime factorization of 89128

89128 = 2 x 2 x 2 x 13 x 857

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 89120 and 89128 is 8