Greatest Common Factor of 7634 and 7638

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 7634, 7638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7634 and 7638 is 2.

GCF(7634,7638) = 2

GCF of 7634 and 7638

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

GCF of:
and

Greatest Common Factor of 7634 and 7638

GCF of 7634 and 7638 is 2

Prime Factorization of 7634


2 7634
11 3817
347 347
1

Prime factors of 7634 are 2,11,347. Prime factorization of 7634 in exponential form is:

7634 = 21×111×3471

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

∴ So by taking common prime factors GCF of 7634 and 7638 is 2

Greatest Common Factor of 7634 and 7638 by matching factors method

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

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

Greatest Common Factor

We found the factors and prime factorization of 7634 and 7638. The biggest common factor number is the GCF number.
So the greatest common factor 7634 and 7638 is 2.

Also check out the Least Common Multiple of 7634 and 7638

Properties of GCF 7634 and 7638

(i) The GCF of 7634 and 7638 is associative

GCF of 7634 and 7638 = GCF of 7638 and 7634

Related Greatest Common Factor of 7634

Related Greatest Common Factor of 7638

Frequently Asked Questions on GCF of 7634 and 7638

1. What is the GCF of 7634 and 7638?

Answer: GCF of 7634 and 7638 is 2.

2. What are the Factors of 7634?

Answer: Factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634. There are 8 integers that are factors of 7634. The greatest factor of 7634 is 7634.

3. 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.

4. How to Find the GCF of 7634 and 7638?

Answer:

Greatest Common Factor of 7634 and 7638 = 2

Step 1: Find the prime factorization of 7634

7634 = 2 x 11 x 347

Step 2: Find the prime factorization of 7638

7638 = 2 x 3 x 19 x 67

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 7634 and 7638 is 2