Greatest Common Factor of 8619 and 8624

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 8619, 8624 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8619 and 8624 is 1.

GCF(8619,8624) = 1

GCF of 8619 and 8624

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

GCF of:
and

Greatest Common Factor of 8619 and 8624

GCF of 8619 and 8624 is 1

Prime Factorization of 8619


3 8619
13 2873
13 221
17 17
1

Prime factors of 8619 are 3,13,17. Prime factorization of 8619 in exponential form is:

8619 = 31×132×171

Prime Factorization of 8624


2 8624
2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 8624 are 2,7,11. Prime factorization of 8624 in exponential form is:

8624 = 24×72×111

∴ So by taking common prime factors GCF of 8619 and 8624 is 1

Greatest Common Factor of 8619 and 8624 by matching factors method

Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1,3,13,17,39,51,169,221,507,663,2873,8619

Factors of 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624

Greatest Common Factor

We found the factors and prime factorization of 8619 and 8624. The biggest common factor number is the GCF number.
So the greatest common factor 8619 and 8624 is 1.

Also check out the Least Common Multiple of 8619 and 8624

Properties of GCF 8619 and 8624

(i) The GCF of 8619 and 8624 is associative

GCF of 8619 and 8624 = GCF of 8624 and 8619

Related Greatest Common Factor of 8619

Related Greatest Common Factor of 8624

Frequently Asked Questions on GCF of 8619 and 8624

1. What is the GCF of 8619 and 8624?

Answer: GCF of 8619 and 8624 is 1.

2. What are the Factors of 8619?

Answer: Factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619. There are 12 integers that are factors of 8619. The greatest factor of 8619 is 8619.

3. What are the Factors of 8624?

Answer: Factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624. There are 30 integers that are factors of 8624. The greatest factor of 8624 is 8624.

4. How to Find the GCF of 8619 and 8624?

Answer:

Greatest Common Factor of 8619 and 8624 = 1

Step 1: Find the prime factorization of 8619

8619 = 3 x 13 x 13 x 17

Step 2: Find the prime factorization of 8624

8624 = 2 x 2 x 2 x 2 x 7 x 7 x 11

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 8619 and 8624 is 1