Greatest Common Factor of 7762 and 7768

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 7762, 7768 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7762 and 7768 is 2.

GCF(7762,7768) = 2

GCF of 7762 and 7768

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

GCF of:
and

Greatest Common Factor of 7762 and 7768

GCF of 7762 and 7768 is 2

Prime Factorization of 7762


2 7762
3881 3881
1

Prime factors of 7762 are 2,3881. Prime factorization of 7762 in exponential form is:

7762 = 21×38811

Prime Factorization of 7768


2 7768
2 3884
2 1942
971 971
1

Prime factors of 7768 are 2,971. Prime factorization of 7768 in exponential form is:

7768 = 23×9711

∴ So by taking common prime factors GCF of 7762 and 7768 is 2

Greatest Common Factor of 7762 and 7768 by matching factors method

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors and prime factorization of 7762 and 7768. The biggest common factor number is the GCF number.
So the greatest common factor 7762 and 7768 is 2.

Also check out the Least Common Multiple of 7762 and 7768

Properties of GCF 7762 and 7768

(i) The GCF of 7762 and 7768 is associative

GCF of 7762 and 7768 = GCF of 7768 and 7762

Related Greatest Common Factor of 7762

Related Greatest Common Factor of 7768

Frequently Asked Questions on GCF of 7762 and 7768

1. What is the GCF of 7762 and 7768?

Answer: GCF of 7762 and 7768 is 2.

2. What are the Factors of 7762?

Answer: Factors of 7762 are 1, 2, 3881, 7762. There are 4 integers that are factors of 7762. The greatest factor of 7762 is 7762.

3. What are the Factors of 7768?

Answer: Factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768. There are 8 integers that are factors of 7768. The greatest factor of 7768 is 7768.

4. How to Find the GCF of 7762 and 7768?

Answer:

Greatest Common Factor of 7762 and 7768 = 2

Step 1: Find the prime factorization of 7762

7762 = 2 x 3881

Step 2: Find the prime factorization of 7768

7768 = 2 x 2 x 2 x 971

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 7762 and 7768 is 2