Greatest Common Factor of 7774 and 7776

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 7774, 7776 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7774 and 7776 is 2.

GCF(7774,7776) = 2

GCF of 7774 and 7776

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

GCF of:
and

Greatest Common Factor of 7774 and 7776

GCF of 7774 and 7776 is 2

Prime Factorization of 7774


2 7774
13 3887
13 299
23 23
1

Prime factors of 7774 are 2,13,23. Prime factorization of 7774 in exponential form is:

7774 = 21×132×231

Prime Factorization of 7776


2 7776
2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 7776 are 2,3. Prime factorization of 7776 in exponential form is:

7776 = 25×35

∴ So by taking common prime factors GCF of 7774 and 7776 is 2

Greatest Common Factor of 7774 and 7776 by matching factors method

Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1,2,13,23,26,46,169,299,338,598,3887,7774

Factors of 7776

List of positive integer factors of 7776 that divides 7776 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776

Greatest Common Factor

We found the factors and prime factorization of 7774 and 7776. The biggest common factor number is the GCF number.
So the greatest common factor 7774 and 7776 is 2.

Also check out the Least Common Multiple of 7774 and 7776

Properties of GCF 7774 and 7776

(i) The GCF of 7774 and 7776 is associative

GCF of 7774 and 7776 = GCF of 7776 and 7774

Related Greatest Common Factor of 7774

Related Greatest Common Factor of 7776

Frequently Asked Questions on GCF of 7774 and 7776

1. What is the GCF of 7774 and 7776?

Answer: GCF of 7774 and 7776 is 2.

2. What are the Factors of 7774?

Answer: Factors of 7774 are 1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774. There are 12 integers that are factors of 7774. The greatest factor of 7774 is 7774.

3. What are the Factors of 7776?

Answer: Factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776. There are 36 integers that are factors of 7776. The greatest factor of 7776 is 7776.

4. How to Find the GCF of 7774 and 7776?

Answer:

Greatest Common Factor of 7774 and 7776 = 2

Step 1: Find the prime factorization of 7774

7774 = 2 x 13 x 13 x 23

Step 2: Find the prime factorization of 7776

7776 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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 7774 and 7776 is 2