Greatest Common Factor of 8638 and 8645

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 8638, 8645 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8638 and 8645 is 7.

GCF(8638,8645) = 7

GCF of 8638 and 8645

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

GCF of:
and

Greatest Common Factor of 8638 and 8645

GCF of 8638 and 8645 is 7

Prime Factorization of 8638


2 8638
7 4319
617 617
1

Prime factors of 8638 are 2,7,617. Prime factorization of 8638 in exponential form is:

8638 = 21×71×6171

Prime Factorization of 8645


5 8645
7 1729
13 247
19 19
1

Prime factors of 8645 are 5,7,13,19. Prime factorization of 8645 in exponential form is:

8645 = 51×71×131×191

∴ So by taking common prime factors GCF of 8638 and 8645 is 7

Greatest Common Factor of 8638 and 8645 by matching factors method

Factors of 8638

List of positive integer factors of 8638 that divides 8638 without a remainder.

1,2,7,14,617,1234,4319,8638

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Greatest Common Factor

We found the factors and prime factorization of 8638 and 8645. The biggest common factor number is the GCF number.
So the greatest common factor 8638 and 8645 is 7.

Also check out the Least Common Multiple of 8638 and 8645

Properties of GCF 8638 and 8645

(i) The GCF of 8638 and 8645 is associative

GCF of 8638 and 8645 = GCF of 8645 and 8638

Related Greatest Common Factor of 8638

Related Greatest Common Factor of 8645

Frequently Asked Questions on GCF of 8638 and 8645

1. What is the GCF of 8638 and 8645?

Answer: GCF of 8638 and 8645 is 7.

2. What are the Factors of 8638?

Answer: Factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638. There are 8 integers that are factors of 8638. The greatest factor of 8638 is 8638.

3. What are the Factors of 8645?

Answer: Factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645. There are 16 integers that are factors of 8645. The greatest factor of 8645 is 8645.

4. How to Find the GCF of 8638 and 8645?

Answer:

Greatest Common Factor of 8638 and 8645 = 7

Step 1: Find the prime factorization of 8638

8638 = 2 x 7 x 617

Step 2: Find the prime factorization of 8645

8645 = 5 x 7 x 13 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8638 and 8645 is 7