Greatest Common Factor of 8417 and 8420

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 8417, 8420 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8417 and 8420 is 1.

GCF(8417,8420) = 1

GCF of 8417 and 8420

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

GCF of:
and

Greatest Common Factor of 8417 and 8420

GCF of 8417 and 8420 is 1

Prime Factorization of 8417


19 8417
443 443
1

Prime factors of 8417 are 19,443. Prime factorization of 8417 in exponential form is:

8417 = 191×4431

Prime Factorization of 8420


2 8420
2 4210
5 2105
421 421
1

Prime factors of 8420 are 2,5,421. Prime factorization of 8420 in exponential form is:

8420 = 22×51×4211

∴ So by taking common prime factors GCF of 8417 and 8420 is 1

Greatest Common Factor of 8417 and 8420 by matching factors method

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors and prime factorization of 8417 and 8420. The biggest common factor number is the GCF number.
So the greatest common factor 8417 and 8420 is 1.

Also check out the Least Common Multiple of 8417 and 8420

Properties of GCF 8417 and 8420

(i) The GCF of 8417 and 8420 is associative

GCF of 8417 and 8420 = GCF of 8420 and 8417

Related Greatest Common Factor of 8417

Related Greatest Common Factor of 8420

Frequently Asked Questions on GCF of 8417 and 8420

1. What is the GCF of 8417 and 8420?

Answer: GCF of 8417 and 8420 is 1.

2. What are the Factors of 8417?

Answer: Factors of 8417 are 1, 19, 443, 8417. There are 4 integers that are factors of 8417. The greatest factor of 8417 is 8417.

3. What are the Factors of 8420?

Answer: Factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420. There are 12 integers that are factors of 8420. The greatest factor of 8420 is 8420.

4. How to Find the GCF of 8417 and 8420?

Answer:

Greatest Common Factor of 8417 and 8420 = 1

Step 1: Find the prime factorization of 8417

8417 = 19 x 443

Step 2: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

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 8417 and 8420 is 1