Greatest Common Factor of 73396 and 73402

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 73396, 73402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 73396 and 73402 is 2.

GCF(73396,73402) = 2

GCF of 73396 and 73402

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

GCF of:
and

Greatest Common Factor of 73396 and 73402

GCF of 73396 and 73402 is 2

Prime Factorization of 73396


2 73396
2 36698
59 18349
311 311
1

Prime factors of 73396 are 2,59,311. Prime factorization of 73396 in exponential form is:

73396 = 22×591×3111

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

∴ So by taking common prime factors GCF of 73396 and 73402 is 2

Greatest Common Factor of 73396 and 73402 by matching factors method

Factors of 73396

List of positive integer factors of 73396 that divides 73396 without a remainder.

1,2,4,59,118,236,311,622,1244,18349,36698,73396

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

Greatest Common Factor

We found the factors and prime factorization of 73396 and 73402. The biggest common factor number is the GCF number.
So the greatest common factor 73396 and 73402 is 2.

Also check out the Least Common Multiple of 73396 and 73402

Properties of GCF 73396 and 73402

(i) The GCF of 73396 and 73402 is associative

GCF of 73396 and 73402 = GCF of 73402 and 73396

Related Greatest Common Factor of 73396

Related Greatest Common Factor of 73402

Frequently Asked Questions on GCF of 73396 and 73402

1. What is the GCF of 73396 and 73402?

Answer: GCF of 73396 and 73402 is 2.

2. What are the Factors of 73396?

Answer: Factors of 73396 are 1, 2, 4, 59, 118, 236, 311, 622, 1244, 18349, 36698, 73396. There are 12 integers that are factors of 73396. The greatest factor of 73396 is 73396.

3. 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.

4. How to Find the GCF of 73396 and 73402?

Answer:

Greatest Common Factor of 73396 and 73402 = 2

Step 1: Find the prime factorization of 73396

73396 = 2 x 2 x 59 x 311

Step 2: Find the prime factorization of 73402

73402 = 2 x 7 x 7 x 7 x 107

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 73396 and 73402 is 2