Greatest Common Factor of 1402 and 1406

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 1402, 1406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1402 and 1406 is 2.

GCF(1402,1406) = 2

GCF of 1402 and 1406

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

GCF of:
and

Greatest Common Factor of 1402 and 1406

GCF of 1402 and 1406 is 2

Prime Factorization of 1402


2 1402
701 701
1

Prime factors of 1402 are 2,701. Prime factorization of 1402 in exponential form is:

1402 = 21×7011

Prime Factorization of 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2,19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

∴ So by taking common prime factors GCF of 1402 and 1406 is 2

Greatest Common Factor of 1402 and 1406 by matching factors method

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1,2,19,37,38,74,703,1406

Greatest Common Factor

We found the factors and prime factorization of 1402 and 1406. The biggest common factor number is the GCF number.
So the greatest common factor 1402 and 1406 is 2.

Also check out the Least Common Multiple of 1402 and 1406

Properties of GCF 1402 and 1406

(i) The GCF of 1402 and 1406 is associative

GCF of 1402 and 1406 = GCF of 1406 and 1402

Related Greatest Common Factor of 1402

Related Greatest Common Factor of 1406

Frequently Asked Questions on GCF of 1402 and 1406

1. What is the GCF of 1402 and 1406?

Answer: GCF of 1402 and 1406 is 2.

2. What are the Factors of 1402?

Answer: Factors of 1402 are 1, 2, 701, 1402. There are 4 integers that are factors of 1402. The greatest factor of 1402 is 1402.

3. What are the Factors of 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

4. How to Find the GCF of 1402 and 1406?

Answer:

Greatest Common Factor of 1402 and 1406 = 2

Step 1: Find the prime factorization of 1402

1402 = 2 x 701

Step 2: Find the prime factorization of 1406

1406 = 2 x 19 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1402 and 1406 is 2