Greatest Common Factor of 7638 and 7646

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 7638, 7646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7638 and 7646 is 2.

GCF(7638,7646) = 2

GCF of 7638 and 7646

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

GCF of:
and

Greatest Common Factor of 7638 and 7646

GCF of 7638 and 7646 is 2

Prime Factorization of 7638


2 7638
3 3819
19 1273
67 67
1

Prime factors of 7638 are 2,3,19,67. Prime factorization of 7638 in exponential form is:

7638 = 21×31×191×671

Prime Factorization of 7646


2 7646
3823 3823
1

Prime factors of 7646 are 2,3823. Prime factorization of 7646 in exponential form is:

7646 = 21×38231

∴ So by taking common prime factors GCF of 7638 and 7646 is 2

Greatest Common Factor of 7638 and 7646 by matching factors method

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Factors of 7646

List of positive integer factors of 7646 that divides 7646 without a remainder.

1,2,3823,7646

Greatest Common Factor

We found the factors and prime factorization of 7638 and 7646. The biggest common factor number is the GCF number.
So the greatest common factor 7638 and 7646 is 2.

Also check out the Least Common Multiple of 7638 and 7646

Properties of GCF 7638 and 7646

(i) The GCF of 7638 and 7646 is associative

GCF of 7638 and 7646 = GCF of 7646 and 7638

Related Greatest Common Factor of 7638

Related Greatest Common Factor of 7646

Frequently Asked Questions on GCF of 7638 and 7646

1. What is the GCF of 7638 and 7646?

Answer: GCF of 7638 and 7646 is 2.

2. What are the Factors of 7638?

Answer: Factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638. There are 16 integers that are factors of 7638. The greatest factor of 7638 is 7638.

3. What are the Factors of 7646?

Answer: Factors of 7646 are 1, 2, 3823, 7646. There are 4 integers that are factors of 7646. The greatest factor of 7646 is 7646.

4. How to Find the GCF of 7638 and 7646?

Answer:

Greatest Common Factor of 7638 and 7646 = 2

Step 1: Find the prime factorization of 7638

7638 = 2 x 3 x 19 x 67

Step 2: Find the prime factorization of 7646

7646 = 2 x 3823

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 7638 and 7646 is 2