Greatest Common Factor of 7776 and 7780

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 7776, 7780 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7776 and 7780 is 4.

GCF(7776,7780) = 4

GCF of 7776 and 7780

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

GCF of:
and

Greatest Common Factor of 7776 and 7780

GCF of 7776 and 7780 is 4

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

Prime Factorization of 7780


2 7780
2 3890
5 1945
389 389
1

Prime factors of 7780 are 2,5,389. Prime factorization of 7780 in exponential form is:

7780 = 22×51×3891

∴ So by taking common prime factors GCF of 7776 and 7780 is 4

Greatest Common Factor of 7776 and 7780 by matching factors method

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

Factors of 7780

List of positive integer factors of 7780 that divides 7780 without a remainder.

1,2,4,5,10,20,389,778,1556,1945,3890,7780

Greatest Common Factor

We found the factors and prime factorization of 7776 and 7780. The biggest common factor number is the GCF number.
So the greatest common factor 7776 and 7780 is 4.

Also check out the Least Common Multiple of 7776 and 7780

Properties of GCF 7776 and 7780

(i) The GCF of 7776 and 7780 is associative

GCF of 7776 and 7780 = GCF of 7780 and 7776

Related Greatest Common Factor of 7776

Related Greatest Common Factor of 7780

Frequently Asked Questions on GCF of 7776 and 7780

1. What is the GCF of 7776 and 7780?

Answer: GCF of 7776 and 7780 is 4.

2. 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.

3. What are the Factors of 7780?

Answer: Factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780. There are 12 integers that are factors of 7780. The greatest factor of 7780 is 7780.

4. How to Find the GCF of 7776 and 7780?

Answer:

Greatest Common Factor of 7776 and 7780 = 4

Step 1: 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 2: Find the prime factorization of 7780

7780 = 2 x 2 x 5 x 389

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7776 and 7780 is 4