Greatest Common Factor of 422 and 427

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 422, 427 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 422 and 427 is 1.

GCF(422,427) = 1

GCF of 422 and 427

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

GCF of:
and

Greatest Common Factor of 422 and 427

GCF of 422 and 427 is 1

Prime Factorization of 422


2 422
211 211
1

Prime factors of 422 are 2,211. Prime factorization of 422 in exponential form is:

422 = 21×2111

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

∴ So by taking common prime factors GCF of 422 and 427 is 1

Greatest Common Factor of 422 and 427 by matching factors method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors and prime factorization of 422 and 427. The biggest common factor number is the GCF number.
So the greatest common factor 422 and 427 is 1.

Also check out the Least Common Multiple of 422 and 427

Properties of GCF 422 and 427

(i) The GCF of 422 and 427 is associative

GCF of 422 and 427 = GCF of 427 and 422

Related Greatest Common Factor of 422

Related Greatest Common Factor of 427

Frequently Asked Questions on GCF of 422 and 427

1. What is the GCF of 422 and 427?

Answer: GCF of 422 and 427 is 1.

2. What are the Factors of 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

3. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. How to Find the GCF of 422 and 427?

Answer:

Greatest Common Factor of 422 and 427 = 1

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 427

427 = 7 x 61

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 422 and 427 is 1