Greatest Common Factor of 8450 and 8455

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 8450, 8455 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8450 and 8455 is 5.

GCF(8450,8455) = 5

GCF of 8450 and 8455

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

GCF of:
and

Greatest Common Factor of 8450 and 8455

GCF of 8450 and 8455 is 5

Prime Factorization of 8450


2 8450
5 4225
5 845
13 169
13 13
1

Prime factors of 8450 are 2,5,13. Prime factorization of 8450 in exponential form is:

8450 = 21×52×132

Prime Factorization of 8455


5 8455
19 1691
89 89
1

Prime factors of 8455 are 5,19,89. Prime factorization of 8455 in exponential form is:

8455 = 51×191×891

∴ So by taking common prime factors GCF of 8450 and 8455 is 5

Greatest Common Factor of 8450 and 8455 by matching factors method

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450

Factors of 8455

List of positive integer factors of 8455 that divides 8455 without a remainder.

1,5,19,89,95,445,1691,8455

Greatest Common Factor

We found the factors and prime factorization of 8450 and 8455. The biggest common factor number is the GCF number.
So the greatest common factor 8450 and 8455 is 5.

Also check out the Least Common Multiple of 8450 and 8455

Properties of GCF 8450 and 8455

(i) The GCF of 8450 and 8455 is associative

GCF of 8450 and 8455 = GCF of 8455 and 8450

Related Greatest Common Factor of 8450

Related Greatest Common Factor of 8455

Frequently Asked Questions on GCF of 8450 and 8455

1. What is the GCF of 8450 and 8455?

Answer: GCF of 8450 and 8455 is 5.

2. What are the Factors of 8450?

Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.

3. What are the Factors of 8455?

Answer: Factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455. There are 8 integers that are factors of 8455. The greatest factor of 8455 is 8455.

4. How to Find the GCF of 8450 and 8455?

Answer:

Greatest Common Factor of 8450 and 8455 = 5

Step 1: Find the prime factorization of 8450

8450 = 2 x 5 x 5 x 13 x 13

Step 2: Find the prime factorization of 8455

8455 = 5 x 19 x 89

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 8450 and 8455 is 5