Greatest Common Factor of 73401 and 73407

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 73401, 73407 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 73401 and 73407 is 3.

GCF(73401,73407) = 3

GCF of 73401 and 73407

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

GCF of:
and

Greatest Common Factor of 73401 and 73407

GCF of 73401 and 73407 is 3

Prime Factorization of 73401


3 73401
43 24467
569 569
1

Prime factors of 73401 are 3,43,569. Prime factorization of 73401 in exponential form is:

73401 = 31×431×5691

Prime Factorization of 73407


3 73407
24469 24469
1

Prime factors of 73407 are 3,24469. Prime factorization of 73407 in exponential form is:

73407 = 31×244691

∴ So by taking common prime factors GCF of 73401 and 73407 is 3

Greatest Common Factor of 73401 and 73407 by matching factors method

Factors of 73401

List of positive integer factors of 73401 that divides 73401 without a remainder.

1,3,43,129,569,1707,24467,73401

Factors of 73407

List of positive integer factors of 73407 that divides 73407 without a remainder.

1,3,24469,73407

Greatest Common Factor

We found the factors and prime factorization of 73401 and 73407. The biggest common factor number is the GCF number.
So the greatest common factor 73401 and 73407 is 3.

Also check out the Least Common Multiple of 73401 and 73407

Properties of GCF 73401 and 73407

(i) The GCF of 73401 and 73407 is associative

GCF of 73401 and 73407 = GCF of 73407 and 73401

Related Greatest Common Factor of 73401

Related Greatest Common Factor of 73407

Frequently Asked Questions on GCF of 73401 and 73407

1. What is the GCF of 73401 and 73407?

Answer: GCF of 73401 and 73407 is 3.

2. What are the Factors of 73401?

Answer: Factors of 73401 are 1, 3, 43, 129, 569, 1707, 24467, 73401. There are 8 integers that are factors of 73401. The greatest factor of 73401 is 73401.

3. What are the Factors of 73407?

Answer: Factors of 73407 are 1, 3, 24469, 73407. There are 4 integers that are factors of 73407. The greatest factor of 73407 is 73407.

4. How to Find the GCF of 73401 and 73407?

Answer:

Greatest Common Factor of 73401 and 73407 = 3

Step 1: Find the prime factorization of 73401

73401 = 3 x 43 x 569

Step 2: Find the prime factorization of 73407

73407 = 3 x 24469

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

GCF = 3

Step 4: Therefore, the greatest common factor of 73401 and 73407 is 3