Greatest Common Factor of 8464 and 8472

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 8464, 8472 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8464 and 8472 is 8.

GCF(8464,8472) = 8

GCF of 8464 and 8472

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

GCF of:
and

Greatest Common Factor of 8464 and 8472

GCF of 8464 and 8472 is 8

Prime Factorization of 8464


2 8464
2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 8464 are 2,23. Prime factorization of 8464 in exponential form is:

8464 = 24×232

Prime Factorization of 8472


2 8472
2 4236
2 2118
3 1059
353 353
1

Prime factors of 8472 are 2,3,353. Prime factorization of 8472 in exponential form is:

8472 = 23×31×3531

∴ So by taking common prime factors GCF of 8464 and 8472 is 8

Greatest Common Factor of 8464 and 8472 by matching factors method

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Factors of 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472

Greatest Common Factor

We found the factors and prime factorization of 8464 and 8472. The biggest common factor number is the GCF number.
So the greatest common factor 8464 and 8472 is 8.

Also check out the Least Common Multiple of 8464 and 8472

Properties of GCF 8464 and 8472

(i) The GCF of 8464 and 8472 is associative

GCF of 8464 and 8472 = GCF of 8472 and 8464

Related Greatest Common Factor of 8464

Related Greatest Common Factor of 8472

Frequently Asked Questions on GCF of 8464 and 8472

1. What is the GCF of 8464 and 8472?

Answer: GCF of 8464 and 8472 is 8.

2. What are the Factors of 8464?

Answer: Factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464. There are 15 integers that are factors of 8464. The greatest factor of 8464 is 8464.

3. What are the Factors of 8472?

Answer: Factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472. There are 16 integers that are factors of 8472. The greatest factor of 8472 is 8472.

4. How to Find the GCF of 8464 and 8472?

Answer:

Greatest Common Factor of 8464 and 8472 = 8

Step 1: Find the prime factorization of 8464

8464 = 2 x 2 x 2 x 2 x 23 x 23

Step 2: Find the prime factorization of 8472

8472 = 2 x 2 x 2 x 3 x 353

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 8464 and 8472 is 8