Greatest Common Factor of 11466 and 11473

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 11466, 11473 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11466 and 11473 is 7.

GCF(11466,11473) = 7

GCF of 11466 and 11473

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

GCF of:
and

Greatest Common Factor of 11466 and 11473

GCF of 11466 and 11473 is 7

Prime Factorization of 11466


2 11466
3 5733
3 1911
7 637
7 91
13 13
1

Prime factors of 11466 are 2,3,7,13. Prime factorization of 11466 in exponential form is:

11466 = 21×32×72×131

Prime Factorization of 11473


7 11473
11 1639
149 149
1

Prime factors of 11473 are 7,11,149. Prime factorization of 11473 in exponential form is:

11473 = 71×111×1491

∴ So by taking common prime factors GCF of 11466 and 11473 is 7

Greatest Common Factor of 11466 and 11473 by matching factors method

Factors of 11466

List of positive integer factors of 11466 that divides 11466 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,39,42,49,63,78,91,98,117,126,147,182,234,273,294,441,546,637,819,882,1274,1638,1911,3822,5733,11466

Factors of 11473

List of positive integer factors of 11473 that divides 11473 without a remainder.

1,7,11,77,149,1043,1639,11473

Greatest Common Factor

We found the factors and prime factorization of 11466 and 11473. The biggest common factor number is the GCF number.
So the greatest common factor 11466 and 11473 is 7.

Also check out the Least Common Multiple of 11466 and 11473

Properties of GCF 11466 and 11473

(i) The GCF of 11466 and 11473 is associative

GCF of 11466 and 11473 = GCF of 11473 and 11466

Related Greatest Common Factor of 11466

Related Greatest Common Factor of 11473

Frequently Asked Questions on GCF of 11466 and 11473

1. What is the GCF of 11466 and 11473?

Answer: GCF of 11466 and 11473 is 7.

2. What are the Factors of 11466?

Answer: Factors of 11466 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 49, 63, 78, 91, 98, 117, 126, 147, 182, 234, 273, 294, 441, 546, 637, 819, 882, 1274, 1638, 1911, 3822, 5733, 11466. There are 36 integers that are factors of 11466. The greatest factor of 11466 is 11466.

3. What are the Factors of 11473?

Answer: Factors of 11473 are 1, 7, 11, 77, 149, 1043, 1639, 11473. There are 8 integers that are factors of 11473. The greatest factor of 11473 is 11473.

4. How to Find the GCF of 11466 and 11473?

Answer:

Greatest Common Factor of 11466 and 11473 = 7

Step 1: Find the prime factorization of 11466

11466 = 2 x 3 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 11473

11473 = 7 x 11 x 149

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

GCF = 7

Step 4: Therefore, the greatest common factor of 11466 and 11473 is 7