Greatest Common Factor of 73402 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 73402, 73407 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 73402 and 73407 is 1.

GCF(73402,73407) = 1

GCF of 73402 and 73407

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

GCF of:
and

Greatest Common Factor of 73402 and 73407

GCF of 73402 and 73407 is 1

Prime Factorization of 73402


2 73402
7 36701
7 5243
7 749
107 107
1

Prime factors of 73402 are 2,7,107. Prime factorization of 73402 in exponential form is:

73402 = 21×73×1071

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 73402 and 73407 is 1

Greatest Common Factor of 73402 and 73407 by matching factors method

Factors of 73402

List of positive integer factors of 73402 that divides 73402 without a remainder.

1,2,7,14,49,98,107,214,343,686,749,1498,5243,10486,36701,73402

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 73402 and 73407. The biggest common factor number is the GCF number.
So the greatest common factor 73402 and 73407 is 1.

Also check out the Least Common Multiple of 73402 and 73407

Properties of GCF 73402 and 73407

(i) The GCF of 73402 and 73407 is associative

GCF of 73402 and 73407 = GCF of 73407 and 73402

Related Greatest Common Factor of 73402

Related Greatest Common Factor of 73407

Frequently Asked Questions on GCF of 73402 and 73407

1. What is the GCF of 73402 and 73407?

Answer: GCF of 73402 and 73407 is 1.

2. What are the Factors of 73402?

Answer: Factors of 73402 are 1, 2, 7, 14, 49, 98, 107, 214, 343, 686, 749, 1498, 5243, 10486, 36701, 73402. There are 16 integers that are factors of 73402. The greatest factor of 73402 is 73402.

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 73402 and 73407?

Answer:

Greatest Common Factor of 73402 and 73407 = 1

Step 1: Find the prime factorization of 73402

73402 = 2 x 7 x 7 x 7 x 107

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 = = 1

Step 4: Therefore, the greatest common factor of 73402 and 73407 is 1