Greatest Common Factor of 890 and 892

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 890, 892 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 890 and 892 is 2.

GCF(890,892) = 2

GCF of 890 and 892

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

GCF of:
and

Greatest Common Factor of 890 and 892

GCF of 890 and 892 is 2

Prime Factorization of 890


2 890
5 445
89 89
1

Prime factors of 890 are 2,5,89. Prime factorization of 890 in exponential form is:

890 = 21×51×891

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

∴ So by taking common prime factors GCF of 890 and 892 is 2

Greatest Common Factor of 890 and 892 by matching factors method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 892

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

1,2,4,223,446,892

Greatest Common Factor

We found the factors and prime factorization of 890 and 892. The biggest common factor number is the GCF number.
So the greatest common factor 890 and 892 is 2.

Also check out the Least Common Multiple of 890 and 892

Properties of GCF 890 and 892

(i) The GCF of 890 and 892 is associative

GCF of 890 and 892 = GCF of 892 and 890

Related Greatest Common Factor of 890

Related Greatest Common Factor of 892

Frequently Asked Questions on GCF of 890 and 892

1. What is the GCF of 890 and 892?

Answer: GCF of 890 and 892 is 2.

2. What are the Factors of 890?

Answer: Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890. There are 8 integers that are factors of 890. The greatest factor of 890 is 890.

3. 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.

4. How to Find the GCF of 890 and 892?

Answer:

Greatest Common Factor of 890 and 892 = 2

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 892

892 = 2 x 2 x 223

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

GCF = 2

Step 4: Therefore, the greatest common factor of 890 and 892 is 2