Greatest Common Factor of 1417 and 1421

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 1417, 1421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1417 and 1421 is 1.

GCF(1417,1421) = 1

GCF of 1417 and 1421

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

GCF of:
and

Greatest Common Factor of 1417 and 1421

GCF of 1417 and 1421 is 1

Prime Factorization of 1417


13 1417
109 109
1

Prime factors of 1417 are 13,109. Prime factorization of 1417 in exponential form is:

1417 = 131×1091

Prime Factorization of 1421


7 1421
7 203
29 29
1

Prime factors of 1421 are 7,29. Prime factorization of 1421 in exponential form is:

1421 = 72×291

∴ So by taking common prime factors GCF of 1417 and 1421 is 1

Greatest Common Factor of 1417 and 1421 by matching factors method

Factors of 1417

List of positive integer factors of 1417 that divides 1417 without a remainder.

1,13,109,1417

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1,7,29,49,203,1421

Greatest Common Factor

We found the factors and prime factorization of 1417 and 1421. The biggest common factor number is the GCF number.
So the greatest common factor 1417 and 1421 is 1.

Also check out the Least Common Multiple of 1417 and 1421

Properties of GCF 1417 and 1421

(i) The GCF of 1417 and 1421 is associative

GCF of 1417 and 1421 = GCF of 1421 and 1417

Related Greatest Common Factor of 1417

Related Greatest Common Factor of 1421

Frequently Asked Questions on GCF of 1417 and 1421

1. What is the GCF of 1417 and 1421?

Answer: GCF of 1417 and 1421 is 1.

2. What are the Factors of 1417?

Answer: Factors of 1417 are 1, 13, 109, 1417. There are 4 integers that are factors of 1417. The greatest factor of 1417 is 1417.

3. What are the Factors of 1421?

Answer: Factors of 1421 are 1, 7, 29, 49, 203, 1421. There are 6 integers that are factors of 1421. The greatest factor of 1421 is 1421.

4. How to Find the GCF of 1417 and 1421?

Answer:

Greatest Common Factor of 1417 and 1421 = 1

Step 1: Find the prime factorization of 1417

1417 = 13 x 109

Step 2: Find the prime factorization of 1421

1421 = 7 x 7 x 29

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 1417 and 1421 is 1