Greatest Common Factor of 1884 and 1888

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 1884, 1888 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1884 and 1888 is 4.

GCF(1884,1888) = 4

GCF of 1884 and 1888

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

GCF of:
and

Greatest Common Factor of 1884 and 1888

GCF of 1884 and 1888 is 4

Prime Factorization of 1884


2 1884
2 942
3 471
157 157
1

Prime factors of 1884 are 2,3,157. Prime factorization of 1884 in exponential form is:

1884 = 22×31×1571

Prime Factorization of 1888


2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 1888 are 2,59. Prime factorization of 1888 in exponential form is:

1888 = 25×591

∴ So by taking common prime factors GCF of 1884 and 1888 is 4

Greatest Common Factor of 1884 and 1888 by matching factors method

Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1,2,3,4,6,12,157,314,471,628,942,1884

Factors of 1888

List of positive integer factors of 1888 that divides 1888 without a remainder.

1,2,4,8,16,32,59,118,236,472,944,1888

Greatest Common Factor

We found the factors and prime factorization of 1884 and 1888. The biggest common factor number is the GCF number.
So the greatest common factor 1884 and 1888 is 4.

Also check out the Least Common Multiple of 1884 and 1888

Properties of GCF 1884 and 1888

(i) The GCF of 1884 and 1888 is associative

GCF of 1884 and 1888 = GCF of 1888 and 1884

Related Greatest Common Factor of 1884

Related Greatest Common Factor of 1888

Frequently Asked Questions on GCF of 1884 and 1888

1. What is the GCF of 1884 and 1888?

Answer: GCF of 1884 and 1888 is 4.

2. What are the Factors of 1884?

Answer: Factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884. There are 12 integers that are factors of 1884. The greatest factor of 1884 is 1884.

3. What are the Factors of 1888?

Answer: Factors of 1888 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888. There are 12 integers that are factors of 1888. The greatest factor of 1888 is 1888.

4. How to Find the GCF of 1884 and 1888?

Answer:

Greatest Common Factor of 1884 and 1888 = 4

Step 1: Find the prime factorization of 1884

1884 = 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 1888

1888 = 2 x 2 x 2 x 2 x 2 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1884 and 1888 is 4