Greatest Common Factor of 5402 and 5407

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, 5407 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5402 and 5407 is 1.

GCF(5402,5407) = 1

GCF of 5402 and 5407

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

GCF of:
and

Greatest Common Factor of 5402 and 5407

GCF of 5402 and 5407 is 1

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 5407


5407 5407
1

Prime factors of 5407 are 5407. Prime factorization of 5407 in exponential form is:

5407 = 54071

∴ So by taking common prime factors GCF of 5402 and 5407 is 1

Greatest Common Factor of 5402 and 5407 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 5407

List of positive integer factors of 5407 that divides 5407 without a remainder.

1,5407

Greatest Common Factor

We found the factors and prime factorization of 5402 and 5407. The biggest common factor number is the GCF number.
So the greatest common factor 5402 and 5407 is 1.

Also check out the Least Common Multiple of 5402 and 5407

Properties of GCF 5402 and 5407

(i) The GCF of 5402 and 5407 is associative

GCF of 5402 and 5407 = GCF of 5407 and 5402

Related Greatest Common Factor of 5402

Related Greatest Common Factor of 5407

Frequently Asked Questions on GCF of 5402 and 5407

1. What is the GCF of 5402 and 5407?

Answer: GCF of 5402 and 5407 is 1.

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 5407?

Answer: Factors of 5407 are 1, 5407. There are 2 integers that are factors of 5407. The greatest factor of 5407 is 5407.

4. How to Find the GCF of 5402 and 5407?

Answer:

Greatest Common Factor of 5402 and 5407 = 1

Step 1: Find the prime factorization of 5402

5402 = 2 x 37 x 73

Step 2: Find the prime factorization of 5407

5407 = 5407

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 5402 and 5407 is 1