Greatest Common Factor of 8400 and 8401

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 8400, 8401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8400 and 8401 is 1.

GCF(8400,8401) = 1

GCF of 8400 and 8401

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

GCF of:
and

Greatest Common Factor of 8400 and 8401

GCF of 8400 and 8401 is 1

Prime Factorization of 8400


2 8400
2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 8400 are 2,3,5,7. Prime factorization of 8400 in exponential form is:

8400 = 24×31×52×71

Prime Factorization of 8401


31 8401
271 271
1

Prime factors of 8401 are 31,271. Prime factorization of 8401 in exponential form is:

8401 = 311×2711

∴ So by taking common prime factors GCF of 8400 and 8401 is 1

Greatest Common Factor of 8400 and 8401 by matching factors method

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1,31,271,8401

Greatest Common Factor

We found the factors and prime factorization of 8400 and 8401. The biggest common factor number is the GCF number.
So the greatest common factor 8400 and 8401 is 1.

Also check out the Least Common Multiple of 8400 and 8401

Properties of GCF 8400 and 8401

(i) The GCF of 8400 and 8401 is associative

GCF of 8400 and 8401 = GCF of 8401 and 8400

Related Greatest Common Factor of 8400

Related Greatest Common Factor of 8401

Frequently Asked Questions on GCF of 8400 and 8401

1. What is the GCF of 8400 and 8401?

Answer: GCF of 8400 and 8401 is 1.

2. What are the Factors of 8400?

Answer: Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. There are 60 integers that are factors of 8400. The greatest factor of 8400 is 8400.

3. What are the Factors of 8401?

Answer: Factors of 8401 are 1, 31, 271, 8401. There are 4 integers that are factors of 8401. The greatest factor of 8401 is 8401.

4. How to Find the GCF of 8400 and 8401?

Answer:

Greatest Common Factor of 8400 and 8401 = 1

Step 1: Find the prime factorization of 8400

8400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 8401

8401 = 31 x 271

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 8400 and 8401 is 1