Greatest Common Factor of 7787 and 7788

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 7787, 7788 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7787 and 7788 is 1.

GCF(7787,7788) = 1

GCF of 7787 and 7788

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

GCF of:
and

Greatest Common Factor of 7787 and 7788

GCF of 7787 and 7788 is 1

Prime Factorization of 7787


13 7787
599 599
1

Prime factors of 7787 are 13,599. Prime factorization of 7787 in exponential form is:

7787 = 131×5991

Prime Factorization of 7788


2 7788
2 3894
3 1947
11 649
59 59
1

Prime factors of 7788 are 2,3,11,59. Prime factorization of 7788 in exponential form is:

7788 = 22×31×111×591

∴ So by taking common prime factors GCF of 7787 and 7788 is 1

Greatest Common Factor of 7787 and 7788 by matching factors method

Factors of 7787

List of positive integer factors of 7787 that divides 7787 without a remainder.

1,13,599,7787

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Greatest Common Factor

We found the factors and prime factorization of 7787 and 7788. The biggest common factor number is the GCF number.
So the greatest common factor 7787 and 7788 is 1.

Also check out the Least Common Multiple of 7787 and 7788

Properties of GCF 7787 and 7788

(i) The GCF of 7787 and 7788 is associative

GCF of 7787 and 7788 = GCF of 7788 and 7787

Related Greatest Common Factor of 7787

Related Greatest Common Factor of 7788

Frequently Asked Questions on GCF of 7787 and 7788

1. What is the GCF of 7787 and 7788?

Answer: GCF of 7787 and 7788 is 1.

2. What are the Factors of 7787?

Answer: Factors of 7787 are 1, 13, 599, 7787. There are 4 integers that are factors of 7787. The greatest factor of 7787 is 7787.

3. What are the Factors of 7788?

Answer: Factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788. There are 24 integers that are factors of 7788. The greatest factor of 7788 is 7788.

4. How to Find the GCF of 7787 and 7788?

Answer:

Greatest Common Factor of 7787 and 7788 = 1

Step 1: Find the prime factorization of 7787

7787 = 13 x 599

Step 2: Find the prime factorization of 7788

7788 = 2 x 2 x 3 x 11 x 59

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7787 and 7788 is 1