Greatest Common Factor of 8624 and 8632

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, 8632 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8624 and 8632 is 8.

GCF(8624,8632) = 8

GCF of 8624 and 8632

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

GCF of:
and

Greatest Common Factor of 8624 and 8632

GCF of 8624 and 8632 is 8

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 8632


2 8632
2 4316
2 2158
13 1079
83 83
1

Prime factors of 8632 are 2,13,83. Prime factorization of 8632 in exponential form is:

8632 = 23×131×831

∴ So by taking common prime factors GCF of 8624 and 8632 is 8

Greatest Common Factor of 8624 and 8632 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 8632

List of positive integer factors of 8632 that divides 8632 without a remainder.

1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632

Greatest Common Factor

We found the factors and prime factorization of 8624 and 8632. The biggest common factor number is the GCF number.
So the greatest common factor 8624 and 8632 is 8.

Also check out the Least Common Multiple of 8624 and 8632

Properties of GCF 8624 and 8632

(i) The GCF of 8624 and 8632 is associative

GCF of 8624 and 8632 = GCF of 8632 and 8624

Related Greatest Common Factor of 8624

Related Greatest Common Factor of 8632

Frequently Asked Questions on GCF of 8624 and 8632

1. What is the GCF of 8624 and 8632?

Answer: GCF of 8624 and 8632 is 8.

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 8632?

Answer: Factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632. There are 16 integers that are factors of 8632. The greatest factor of 8632 is 8632.

4. How to Find the GCF of 8624 and 8632?

Answer:

Greatest Common Factor of 8624 and 8632 = 8

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 8632

8632 = 2 x 2 x 2 x 13 x 83

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8624 and 8632 is 8