Greatest Common Factor of 8407 and 8415

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 8407, 8415 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8407 and 8415 is 1.

GCF(8407,8415) = 1

GCF of 8407 and 8415

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

GCF of:
and

Greatest Common Factor of 8407 and 8415

GCF of 8407 and 8415 is 1

Prime Factorization of 8407


7 8407
1201 1201
1

Prime factors of 8407 are 7,1201. Prime factorization of 8407 in exponential form is:

8407 = 71×12011

Prime Factorization of 8415


3 8415
3 2805
5 935
11 187
17 17
1

Prime factors of 8415 are 3,5,11,17. Prime factorization of 8415 in exponential form is:

8415 = 32×51×111×171

∴ So by taking common prime factors GCF of 8407 and 8415 is 1

Greatest Common Factor of 8407 and 8415 by matching factors method

Factors of 8407

List of positive integer factors of 8407 that divides 8407 without a remainder.

1,7,1201,8407

Factors of 8415

List of positive integer factors of 8415 that divides 8415 without a remainder.

1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415

Greatest Common Factor

We found the factors and prime factorization of 8407 and 8415. The biggest common factor number is the GCF number.
So the greatest common factor 8407 and 8415 is 1.

Also check out the Least Common Multiple of 8407 and 8415

Properties of GCF 8407 and 8415

(i) The GCF of 8407 and 8415 is associative

GCF of 8407 and 8415 = GCF of 8415 and 8407

Related Greatest Common Factor of 8407

Related Greatest Common Factor of 8415

Frequently Asked Questions on GCF of 8407 and 8415

1. What is the GCF of 8407 and 8415?

Answer: GCF of 8407 and 8415 is 1.

2. What are the Factors of 8407?

Answer: Factors of 8407 are 1, 7, 1201, 8407. There are 4 integers that are factors of 8407. The greatest factor of 8407 is 8407.

3. What are the Factors of 8415?

Answer: Factors of 8415 are 1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415. There are 24 integers that are factors of 8415. The greatest factor of 8415 is 8415.

4. How to Find the GCF of 8407 and 8415?

Answer:

Greatest Common Factor of 8407 and 8415 = 1

Step 1: Find the prime factorization of 8407

8407 = 7 x 1201

Step 2: Find the prime factorization of 8415

8415 = 3 x 3 x 5 x 11 x 17

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 8407 and 8415 is 1