Greatest Common Factor of 1402 and 1410

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, 1410 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1402 and 1410 is 2.

GCF(1402,1410) = 2

GCF of 1402 and 1410

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

GCF of:
and

Greatest Common Factor of 1402 and 1410

GCF of 1402 and 1410 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 1410


2 1410
3 705
5 235
47 47
1

Prime factors of 1410 are 2,3,5,47. Prime factorization of 1410 in exponential form is:

1410 = 21×31×51×471

∴ So by taking common prime factors GCF of 1402 and 1410 is 2

Greatest Common Factor of 1402 and 1410 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 1410

List of positive integer factors of 1410 that divides 1410 without a remainder.

1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410

Greatest Common Factor

We found the factors and prime factorization of 1402 and 1410. The biggest common factor number is the GCF number.
So the greatest common factor 1402 and 1410 is 2.

Also check out the Least Common Multiple of 1402 and 1410

Properties of GCF 1402 and 1410

(i) The GCF of 1402 and 1410 is associative

GCF of 1402 and 1410 = GCF of 1410 and 1402

Related Greatest Common Factor of 1402

Related Greatest Common Factor of 1410

Frequently Asked Questions on GCF of 1402 and 1410

1. What is the GCF of 1402 and 1410?

Answer: GCF of 1402 and 1410 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 1410?

Answer: Factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410. There are 16 integers that are factors of 1410. The greatest factor of 1410 is 1410.

4. How to Find the GCF of 1402 and 1410?

Answer:

Greatest Common Factor of 1402 and 1410 = 2

Step 1: Find the prime factorization of 1402

1402 = 2 x 701

Step 2: Find the prime factorization of 1410

1410 = 2 x 3 x 5 x 47

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 1410 is 2