Greatest Common Factor of 73402 and 73406

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, 73406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 73402 and 73406 is 2.

GCF(73402,73406) = 2

GCF of 73402 and 73406

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

GCF of:
and

Greatest Common Factor of 73402 and 73406

GCF of 73402 and 73406 is 2

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 73406


2 73406
17 36703
17 2159
127 127
1

Prime factors of 73406 are 2,17,127. Prime factorization of 73406 in exponential form is:

73406 = 21×172×1271

∴ So by taking common prime factors GCF of 73402 and 73406 is 2

Greatest Common Factor of 73402 and 73406 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 73406

List of positive integer factors of 73406 that divides 73406 without a remainder.

1,2,17,34,127,254,289,578,2159,4318,36703,73406

Greatest Common Factor

We found the factors and prime factorization of 73402 and 73406. The biggest common factor number is the GCF number.
So the greatest common factor 73402 and 73406 is 2.

Also check out the Least Common Multiple of 73402 and 73406

Properties of GCF 73402 and 73406

(i) The GCF of 73402 and 73406 is associative

GCF of 73402 and 73406 = GCF of 73406 and 73402

Related Greatest Common Factor of 73402

Related Greatest Common Factor of 73406

Frequently Asked Questions on GCF of 73402 and 73406

1. What is the GCF of 73402 and 73406?

Answer: GCF of 73402 and 73406 is 2.

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 73406?

Answer: Factors of 73406 are 1, 2, 17, 34, 127, 254, 289, 578, 2159, 4318, 36703, 73406. There are 12 integers that are factors of 73406. The greatest factor of 73406 is 73406.

4. How to Find the GCF of 73402 and 73406?

Answer:

Greatest Common Factor of 73402 and 73406 = 2

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 73406

73406 = 2 x 17 x 17 x 127

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 73402 and 73406 is 2