Greatest Common Factor of 8634 and 8639

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 8634, 8639 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8634 and 8639 is 1.

GCF(8634,8639) = 1

GCF of 8634 and 8639

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

GCF of:
and

Greatest Common Factor of 8634 and 8639

GCF of 8634 and 8639 is 1

Prime Factorization of 8634


2 8634
3 4317
1439 1439
1

Prime factors of 8634 are 2,3,1439. Prime factorization of 8634 in exponential form is:

8634 = 21×31×14391

Prime Factorization of 8639


53 8639
163 163
1

Prime factors of 8639 are 53,163. Prime factorization of 8639 in exponential form is:

8639 = 531×1631

∴ So by taking common prime factors GCF of 8634 and 8639 is 1

Greatest Common Factor of 8634 and 8639 by matching factors method

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1,2,3,6,1439,2878,4317,8634

Factors of 8639

List of positive integer factors of 8639 that divides 8639 without a remainder.

1,53,163,8639

Greatest Common Factor

We found the factors and prime factorization of 8634 and 8639. The biggest common factor number is the GCF number.
So the greatest common factor 8634 and 8639 is 1.

Also check out the Least Common Multiple of 8634 and 8639

Properties of GCF 8634 and 8639

(i) The GCF of 8634 and 8639 is associative

GCF of 8634 and 8639 = GCF of 8639 and 8634

Frequently Asked Questions on GCF of 8634 and 8639

1. What is the GCF of 8634 and 8639?

Answer: GCF of 8634 and 8639 is 1.

2. What are the Factors of 8634?

Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.

3. What are the Factors of 8639?

Answer: Factors of 8639 are 1, 53, 163, 8639. There are 4 integers that are factors of 8639. The greatest factor of 8639 is 8639.

4. How to Find the GCF of 8634 and 8639?

Answer:

Greatest Common Factor of 8634 and 8639 = 1

Step 1: Find the prime factorization of 8634

8634 = 2 x 3 x 1439

Step 2: Find the prime factorization of 8639

8639 = 53 x 163

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8634 and 8639 is 1