Greatest Common Factor of 407 and 410

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 407, 410 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 407 and 410 is 1.

GCF(407,410) = 1

GCF of 407 and 410

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

GCF of:
and

Greatest Common Factor of 407 and 410

GCF of 407 and 410 is 1

Prime Factorization of 407


11 407
37 37
1

Prime factors of 407 are 11,37. Prime factorization of 407 in exponential form is:

407 = 111×371

Prime Factorization of 410


2 410
5 205
41 41
1

Prime factors of 410 are 2,5,41. Prime factorization of 410 in exponential form is:

410 = 21×51×411

∴ So by taking common prime factors GCF of 407 and 410 is 1

Greatest Common Factor of 407 and 410 by matching factors method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors and prime factorization of 407 and 410. The biggest common factor number is the GCF number.
So the greatest common factor 407 and 410 is 1.

Also check out the Least Common Multiple of 407 and 410

Properties of GCF 407 and 410

(i) The GCF of 407 and 410 is associative

GCF of 407 and 410 = GCF of 410 and 407

Related Greatest Common Factor of 407

Related Greatest Common Factor of 410

Frequently Asked Questions on GCF of 407 and 410

1. What is the GCF of 407 and 410?

Answer: GCF of 407 and 410 is 1.

2. What are the Factors of 407?

Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.

3. What are the Factors of 410?

Answer: Factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410. There are 8 integers that are factors of 410. The greatest factor of 410 is 410.

4. How to Find the GCF of 407 and 410?

Answer:

Greatest Common Factor of 407 and 410 = 1

Step 1: Find the prime factorization of 407

407 = 11 x 37

Step 2: Find the prime factorization of 410

410 = 2 x 5 x 41

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 407 and 410 is 1