Greatest Common Factor of 5880 and 5888

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 5880, 5888 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5880 and 5888 is 8.

GCF(5880,5888) = 8

GCF of 5880 and 5888

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

GCF of:
and

Greatest Common Factor of 5880 and 5888

GCF of 5880 and 5888 is 8

Prime Factorization of 5880


2 5880
2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 5880 are 2,3,5,7. Prime factorization of 5880 in exponential form is:

5880 = 23×31×51×72

Prime Factorization of 5888


2 5888
2 2944
2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 5888 are 2,23. Prime factorization of 5888 in exponential form is:

5888 = 28×231

∴ So by taking common prime factors GCF of 5880 and 5888 is 8

Greatest Common Factor of 5880 and 5888 by matching factors method

Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880

Factors of 5888

List of positive integer factors of 5888 that divides 5888 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888

Greatest Common Factor

We found the factors and prime factorization of 5880 and 5888. The biggest common factor number is the GCF number.
So the greatest common factor 5880 and 5888 is 8.

Also check out the Least Common Multiple of 5880 and 5888

Properties of GCF 5880 and 5888

(i) The GCF of 5880 and 5888 is associative

GCF of 5880 and 5888 = GCF of 5888 and 5880

Related Greatest Common Factor of 5880

Related Greatest Common Factor of 5888

Frequently Asked Questions on GCF of 5880 and 5888

1. What is the GCF of 5880 and 5888?

Answer: GCF of 5880 and 5888 is 8.

2. What are the Factors of 5880?

Answer: Factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880. There are 48 integers that are factors of 5880. The greatest factor of 5880 is 5880.

3. What are the Factors of 5888?

Answer: Factors of 5888 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888. There are 18 integers that are factors of 5888. The greatest factor of 5888 is 5888.

4. How to Find the GCF of 5880 and 5888?

Answer:

Greatest Common Factor of 5880 and 5888 = 8

Step 1: Find the prime factorization of 5880

5880 = 2 x 2 x 2 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 5888

5888 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23

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 5880 and 5888 is 8