Greatest Common Factor of 7730 and 7738

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 7730, 7738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7730 and 7738 is 2.

GCF(7730,7738) = 2

GCF of 7730 and 7738

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

GCF of:
and

Greatest Common Factor of 7730 and 7738

GCF of 7730 and 7738 is 2

Prime Factorization of 7730


2 7730
5 3865
773 773
1

Prime factors of 7730 are 2,5,773. Prime factorization of 7730 in exponential form is:

7730 = 21×51×7731

Prime Factorization of 7738


2 7738
53 3869
73 73
1

Prime factors of 7738 are 2,53,73. Prime factorization of 7738 in exponential form is:

7738 = 21×531×731

∴ So by taking common prime factors GCF of 7730 and 7738 is 2

Greatest Common Factor of 7730 and 7738 by matching factors method

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1,2,53,73,106,146,3869,7738

Greatest Common Factor

We found the factors and prime factorization of 7730 and 7738. The biggest common factor number is the GCF number.
So the greatest common factor 7730 and 7738 is 2.

Also check out the Least Common Multiple of 7730 and 7738

Properties of GCF 7730 and 7738

(i) The GCF of 7730 and 7738 is associative

GCF of 7730 and 7738 = GCF of 7738 and 7730

Related Greatest Common Factor of 7730

Related Greatest Common Factor of 7738

Frequently Asked Questions on GCF of 7730 and 7738

1. What is the GCF of 7730 and 7738?

Answer: GCF of 7730 and 7738 is 2.

2. What are the Factors of 7730?

Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.

3. What are the Factors of 7738?

Answer: Factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738. There are 8 integers that are factors of 7738. The greatest factor of 7738 is 7738.

4. How to Find the GCF of 7730 and 7738?

Answer:

Greatest Common Factor of 7730 and 7738 = 2

Step 1: Find the prime factorization of 7730

7730 = 2 x 5 x 773

Step 2: Find the prime factorization of 7738

7738 = 2 x 53 x 73

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 7730 and 7738 is 2