Greatest Common Factor of 888 and 893

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 888, 893 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 888 and 893 is 1.

GCF(888,893) = 1

GCF of 888 and 893

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

GCF of:
and

Greatest Common Factor of 888 and 893

GCF of 888 and 893 is 1

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2,3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

Prime Factorization of 893


19 893
47 47
1

Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:

893 = 191×471

∴ So by taking common prime factors GCF of 888 and 893 is 1

Greatest Common Factor of 888 and 893 by matching factors method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors and prime factorization of 888 and 893. The biggest common factor number is the GCF number.
So the greatest common factor 888 and 893 is 1.

Also check out the Least Common Multiple of 888 and 893

Properties of GCF 888 and 893

(i) The GCF of 888 and 893 is associative

GCF of 888 and 893 = GCF of 893 and 888

Related Greatest Common Factor of 888

Related Greatest Common Factor of 893

Frequently Asked Questions on GCF of 888 and 893

1. What is the GCF of 888 and 893?

Answer: GCF of 888 and 893 is 1.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

3. What are the Factors of 893?

Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.

4. How to Find the GCF of 888 and 893?

Answer:

Greatest Common Factor of 888 and 893 = 1

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 893

893 = 19 x 47

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 888 and 893 is 1