Greatest Common Factor of 7400 and 7407

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 7400, 7407 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7400 and 7407 is 1.

GCF(7400,7407) = 1

GCF of 7400 and 7407

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

GCF of:
and

Greatest Common Factor of 7400 and 7407

GCF of 7400 and 7407 is 1

Prime Factorization of 7400


2 7400
2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 7400 are 2,5,37. Prime factorization of 7400 in exponential form is:

7400 = 23×52×371

Prime Factorization of 7407


3 7407
3 2469
823 823
1

Prime factors of 7407 are 3,823. Prime factorization of 7407 in exponential form is:

7407 = 32×8231

∴ So by taking common prime factors GCF of 7400 and 7407 is 1

Greatest Common Factor of 7400 and 7407 by matching factors method

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1,3,9,823,2469,7407

Greatest Common Factor

We found the factors and prime factorization of 7400 and 7407. The biggest common factor number is the GCF number.
So the greatest common factor 7400 and 7407 is 1.

Also check out the Least Common Multiple of 7400 and 7407

Properties of GCF 7400 and 7407

(i) The GCF of 7400 and 7407 is associative

GCF of 7400 and 7407 = GCF of 7407 and 7400

Related Greatest Common Factor of 7400

Related Greatest Common Factor of 7407

Frequently Asked Questions on GCF of 7400 and 7407

1. What is the GCF of 7400 and 7407?

Answer: GCF of 7400 and 7407 is 1.

2. What are the Factors of 7400?

Answer: Factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400. There are 24 integers that are factors of 7400. The greatest factor of 7400 is 7400.

3. What are the Factors of 7407?

Answer: Factors of 7407 are 1, 3, 9, 823, 2469, 7407. There are 6 integers that are factors of 7407. The greatest factor of 7407 is 7407.

4. How to Find the GCF of 7400 and 7407?

Answer:

Greatest Common Factor of 7400 and 7407 = 1

Step 1: Find the prime factorization of 7400

7400 = 2 x 2 x 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 7407

7407 = 3 x 3 x 823

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 7400 and 7407 is 1