Greatest Common Factor of 8460 and 8464

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 8460, 8464 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8460 and 8464 is 4.

GCF(8460,8464) = 4

GCF of 8460 and 8464

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

GCF of:
and

Greatest Common Factor of 8460 and 8464

GCF of 8460 and 8464 is 4

Prime Factorization of 8460


2 8460
2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 8460 are 2,3,5,47. Prime factorization of 8460 in exponential form is:

8460 = 22×32×51×471

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

∴ So by taking common prime factors GCF of 8460 and 8464 is 4

Greatest Common Factor of 8460 and 8464 by matching factors method

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460

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

Greatest Common Factor

We found the factors and prime factorization of 8460 and 8464. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8464 is 4.

Also check out the Least Common Multiple of 8460 and 8464

Properties of GCF 8460 and 8464

(i) The GCF of 8460 and 8464 is associative

GCF of 8460 and 8464 = GCF of 8464 and 8460

Related Greatest Common Factor of 8460

Related Greatest Common Factor of 8464

Frequently Asked Questions on GCF of 8460 and 8464

1. What is the GCF of 8460 and 8464?

Answer: GCF of 8460 and 8464 is 4.

2. What are the Factors of 8460?

Answer: Factors of 8460 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460. There are 36 integers that are factors of 8460. The greatest factor of 8460 is 8460.

3. 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.

4. How to Find the GCF of 8460 and 8464?

Answer:

Greatest Common Factor of 8460 and 8464 = 4

Step 1: Find the prime factorization of 8460

8460 = 2 x 2 x 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 8464

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

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 8460 and 8464 is 4