Greatest Common Factor of 8624 and 8630

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 8624, 8630 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8624 and 8630 is 2.

GCF(8624,8630) = 2

GCF of 8624 and 8630

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

GCF of:
and

Greatest Common Factor of 8624 and 8630

GCF of 8624 and 8630 is 2

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

Prime Factorization of 8630


2 8630
5 4315
863 863
1

Prime factors of 8630 are 2,5,863. Prime factorization of 8630 in exponential form is:

8630 = 21×51×8631

∴ So by taking common prime factors GCF of 8624 and 8630 is 2

Greatest Common Factor of 8624 and 8630 by matching factors method

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

Factors of 8630

List of positive integer factors of 8630 that divides 8630 without a remainder.

1,2,5,10,863,1726,4315,8630

Greatest Common Factor

We found the factors and prime factorization of 8624 and 8630. The biggest common factor number is the GCF number.
So the greatest common factor 8624 and 8630 is 2.

Also check out the Least Common Multiple of 8624 and 8630

Properties of GCF 8624 and 8630

(i) The GCF of 8624 and 8630 is associative

GCF of 8624 and 8630 = GCF of 8630 and 8624

Related Greatest Common Factor of 8624

Related Greatest Common Factor of 8630

Frequently Asked Questions on GCF of 8624 and 8630

1. What is the GCF of 8624 and 8630?

Answer: GCF of 8624 and 8630 is 2.

2. 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.

3. What are the Factors of 8630?

Answer: Factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630. There are 8 integers that are factors of 8630. The greatest factor of 8630 is 8630.

4. How to Find the GCF of 8624 and 8630?

Answer:

Greatest Common Factor of 8624 and 8630 = 2

Step 1: Find the prime factorization of 8624

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

Step 2: Find the prime factorization of 8630

8630 = 2 x 5 x 863

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 8624 and 8630 is 2