Greatest Common Factor of 7658 and 7662

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 7658, 7662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7658 and 7662 is 2.

GCF(7658,7662) = 2

GCF of 7658 and 7662

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

GCF of:
and

Greatest Common Factor of 7658 and 7662

GCF of 7658 and 7662 is 2

Prime Factorization of 7658


2 7658
7 3829
547 547
1

Prime factors of 7658 are 2,7,547. Prime factorization of 7658 in exponential form is:

7658 = 21×71×5471

Prime Factorization of 7662


2 7662
3 3831
1277 1277
1

Prime factors of 7662 are 2,3,1277. Prime factorization of 7662 in exponential form is:

7662 = 21×31×12771

∴ So by taking common prime factors GCF of 7658 and 7662 is 2

Greatest Common Factor of 7658 and 7662 by matching factors method

Factors of 7658

List of positive integer factors of 7658 that divides 7658 without a remainder.

1,2,7,14,547,1094,3829,7658

Factors of 7662

List of positive integer factors of 7662 that divides 7662 without a remainder.

1,2,3,6,1277,2554,3831,7662

Greatest Common Factor

We found the factors and prime factorization of 7658 and 7662. The biggest common factor number is the GCF number.
So the greatest common factor 7658 and 7662 is 2.

Also check out the Least Common Multiple of 7658 and 7662

Properties of GCF 7658 and 7662

(i) The GCF of 7658 and 7662 is associative

GCF of 7658 and 7662 = GCF of 7662 and 7658

Related Greatest Common Factor of 7658

Related Greatest Common Factor of 7662

Frequently Asked Questions on GCF of 7658 and 7662

1. What is the GCF of 7658 and 7662?

Answer: GCF of 7658 and 7662 is 2.

2. What are the Factors of 7658?

Answer: Factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658. There are 8 integers that are factors of 7658. The greatest factor of 7658 is 7658.

3. What are the Factors of 7662?

Answer: Factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662. There are 8 integers that are factors of 7662. The greatest factor of 7662 is 7662.

4. How to Find the GCF of 7658 and 7662?

Answer:

Greatest Common Factor of 7658 and 7662 = 2

Step 1: Find the prime factorization of 7658

7658 = 2 x 7 x 547

Step 2: Find the prime factorization of 7662

7662 = 2 x 3 x 1277

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 7658 and 7662 is 2