Greatest Common Factor of 5402 and 5410

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 5402, 5410 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5402 and 5410 is 2.

GCF(5402,5410) = 2

GCF of 5402 and 5410

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

GCF of:
and

Greatest Common Factor of 5402 and 5410

GCF of 5402 and 5410 is 2

Prime Factorization of 5402


2 5402
37 2701
73 73
1

Prime factors of 5402 are 2,37,73. Prime factorization of 5402 in exponential form is:

5402 = 21×371×731

Prime Factorization of 5410


2 5410
5 2705
541 541
1

Prime factors of 5410 are 2,5,541. Prime factorization of 5410 in exponential form is:

5410 = 21×51×5411

∴ So by taking common prime factors GCF of 5402 and 5410 is 2

Greatest Common Factor of 5402 and 5410 by matching factors method

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1,2,37,73,74,146,2701,5402

Factors of 5410

List of positive integer factors of 5410 that divides 5410 without a remainder.

1,2,5,10,541,1082,2705,5410

Greatest Common Factor

We found the factors and prime factorization of 5402 and 5410. The biggest common factor number is the GCF number.
So the greatest common factor 5402 and 5410 is 2.

Also check out the Least Common Multiple of 5402 and 5410

Properties of GCF 5402 and 5410

(i) The GCF of 5402 and 5410 is associative

GCF of 5402 and 5410 = GCF of 5410 and 5402

Related Greatest Common Factor of 5402

Related Greatest Common Factor of 5410

Frequently Asked Questions on GCF of 5402 and 5410

1. What is the GCF of 5402 and 5410?

Answer: GCF of 5402 and 5410 is 2.

2. What are the Factors of 5402?

Answer: Factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402. There are 8 integers that are factors of 5402. The greatest factor of 5402 is 5402.

3. What are the Factors of 5410?

Answer: Factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410. There are 8 integers that are factors of 5410. The greatest factor of 5410 is 5410.

4. How to Find the GCF of 5402 and 5410?

Answer:

Greatest Common Factor of 5402 and 5410 = 2

Step 1: Find the prime factorization of 5402

5402 = 2 x 37 x 73

Step 2: Find the prime factorization of 5410

5410 = 2 x 5 x 541

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 5402 and 5410 is 2