Greatest Common Factor of 892 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 892, 893 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 892 and 893 is 1.

GCF(892,893) = 1

GCF of 892 and 893

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

GCF of:
and

Greatest Common Factor of 892 and 893

GCF of 892 and 893 is 1

Prime Factorization of 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

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 892 and 893 is 1

Greatest Common Factor of 892 and 893 by matching factors method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

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 892 and 893. The biggest common factor number is the GCF number.
So the greatest common factor 892 and 893 is 1.

Also check out the Least Common Multiple of 892 and 893

Properties of GCF 892 and 893

(i) The GCF of 892 and 893 is associative

GCF of 892 and 893 = GCF of 893 and 892

Related Greatest Common Factor of 892

Related Greatest Common Factor of 893

Frequently Asked Questions on GCF of 892 and 893

1. What is the GCF of 892 and 893?

Answer: GCF of 892 and 893 is 1.

2. What are the Factors of 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

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 892 and 893?

Answer:

Greatest Common Factor of 892 and 893 = 1

Step 1: Find the prime factorization of 892

892 = 2 x 2 x 223

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 892 and 893 is 1