Greatest Common Factor of 890 and 895

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, 895 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 890 and 895 is 5.

GCF(890,895) = 5

GCF of 890 and 895

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

GCF of:
and

Greatest Common Factor of 890 and 895

GCF of 890 and 895 is 5

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 895


5 895
179 179
1

Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:

895 = 51×1791

∴ So by taking common prime factors GCF of 890 and 895 is 5

Greatest Common Factor of 890 and 895 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 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors and prime factorization of 890 and 895. The biggest common factor number is the GCF number.
So the greatest common factor 890 and 895 is 5.

Also check out the Least Common Multiple of 890 and 895

Properties of GCF 890 and 895

(i) The GCF of 890 and 895 is associative

GCF of 890 and 895 = GCF of 895 and 890

Related Greatest Common Factor of 890

Related Greatest Common Factor of 895

Frequently Asked Questions on GCF of 890 and 895

1. What is the GCF of 890 and 895?

Answer: GCF of 890 and 895 is 5.

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 895?

Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.

4. How to Find the GCF of 890 and 895?

Answer:

Greatest Common Factor of 890 and 895 = 5

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 895

895 = 5 x 179

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

GCF = 5

Step 4: Therefore, the greatest common factor of 890 and 895 is 5