Greatest Common Factor of 8628 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 8628, 8632 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8628 and 8632 is 4.

GCF(8628,8632) = 4

GCF of 8628 and 8632

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

GCF of:
and

Greatest Common Factor of 8628 and 8632

GCF of 8628 and 8632 is 4

Prime Factorization of 8628


2 8628
2 4314
3 2157
719 719
1

Prime factors of 8628 are 2,3,719. Prime factorization of 8628 in exponential form is:

8628 = 22×31×7191

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 8628 and 8632 is 4

Greatest Common Factor of 8628 and 8632 by matching factors method

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

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 8628 and 8632. The biggest common factor number is the GCF number.
So the greatest common factor 8628 and 8632 is 4.

Also check out the Least Common Multiple of 8628 and 8632

Properties of GCF 8628 and 8632

(i) The GCF of 8628 and 8632 is associative

GCF of 8628 and 8632 = GCF of 8632 and 8628

Related Greatest Common Factor of 8628

Related Greatest Common Factor of 8632

Frequently Asked Questions on GCF of 8628 and 8632

1. What is the GCF of 8628 and 8632?

Answer: GCF of 8628 and 8632 is 4.

2. What are the Factors of 8628?

Answer: Factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628. There are 12 integers that are factors of 8628. The greatest factor of 8628 is 8628.

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 8628 and 8632?

Answer:

Greatest Common Factor of 8628 and 8632 = 4

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

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 = 4

Step 4: Therefore, the greatest common factor of 8628 and 8632 is 4