Greatest Common Factor of 414 and 421

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 414, 421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 414 and 421 is 1.

GCF(414,421) = 1

GCF of 414 and 421

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

GCF of:
and

Greatest Common Factor of 414 and 421

GCF of 414 and 421 is 1

Prime Factorization of 414


2 414
3 207
3 69
23 23
1

Prime factors of 414 are 2,3,23. Prime factorization of 414 in exponential form is:

414 = 21×32×231

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

∴ So by taking common prime factors GCF of 414 and 421 is 1

Greatest Common Factor of 414 and 421 by matching factors method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors and prime factorization of 414 and 421. The biggest common factor number is the GCF number.
So the greatest common factor 414 and 421 is 1.

Also check out the Least Common Multiple of 414 and 421

Properties of GCF 414 and 421

(i) The GCF of 414 and 421 is associative

GCF of 414 and 421 = GCF of 421 and 414

Related Greatest Common Factor of 414

Related Greatest Common Factor of 421

Frequently Asked Questions on GCF of 414 and 421

1. What is the GCF of 414 and 421?

Answer: GCF of 414 and 421 is 1.

2. What are the Factors of 414?

Answer: Factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414. There are 12 integers that are factors of 414. The greatest factor of 414 is 414.

3. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

4. How to Find the GCF of 414 and 421?

Answer:

Greatest Common Factor of 414 and 421 = 1

Step 1: Find the prime factorization of 414

414 = 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 421

421 = 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 414 and 421 is 1