Greatest Common Factor of 418 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 418, 421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 418 and 421 is 1.

GCF(418,421) = 1

GCF of 418 and 421

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

GCF of:
and

Greatest Common Factor of 418 and 421

GCF of 418 and 421 is 1

Prime Factorization of 418


2 418
11 209
19 19
1

Prime factors of 418 are 2,11,19. Prime factorization of 418 in exponential form is:

418 = 21×111×191

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 418 and 421 is 1

Greatest Common Factor of 418 and 421 by matching factors method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

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 418 and 421. The biggest common factor number is the GCF number.
So the greatest common factor 418 and 421 is 1.

Also check out the Least Common Multiple of 418 and 421

Properties of GCF 418 and 421

(i) The GCF of 418 and 421 is associative

GCF of 418 and 421 = GCF of 421 and 418

Related Greatest Common Factor of 418

Related Greatest Common Factor of 421

Frequently Asked Questions on GCF of 418 and 421

1. What is the GCF of 418 and 421?

Answer: GCF of 418 and 421 is 1.

2. What are the Factors of 418?

Answer: Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418. There are 8 integers that are factors of 418. The greatest factor of 418 is 418.

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 418 and 421?

Answer:

Greatest Common Factor of 418 and 421 = 1

Step 1: Find the prime factorization of 418

418 = 2 x 11 x 19

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 418 and 421 is 1