Greatest Common Factor of 8460 and 8467

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, 8467 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8460 and 8467 is 1.

GCF(8460,8467) = 1

GCF of 8460 and 8467

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

GCF of:
and

Greatest Common Factor of 8460 and 8467

GCF of 8460 and 8467 is 1

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 8467


8467 8467
1

Prime factors of 8467 are 8467. Prime factorization of 8467 in exponential form is:

8467 = 84671

∴ So by taking common prime factors GCF of 8460 and 8467 is 1

Greatest Common Factor of 8460 and 8467 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 8467

List of positive integer factors of 8467 that divides 8467 without a remainder.

1,8467

Greatest Common Factor

We found the factors and prime factorization of 8460 and 8467. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8467 is 1.

Also check out the Least Common Multiple of 8460 and 8467

Properties of GCF 8460 and 8467

(i) The GCF of 8460 and 8467 is associative

GCF of 8460 and 8467 = GCF of 8467 and 8460

Frequently Asked Questions on GCF of 8460 and 8467

1. What is the GCF of 8460 and 8467?

Answer: GCF of 8460 and 8467 is 1.

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 8467?

Answer: Factors of 8467 are 1, 8467. There are 2 integers that are factors of 8467. The greatest factor of 8467 is 8467.

4. How to Find the GCF of 8460 and 8467?

Answer:

Greatest Common Factor of 8460 and 8467 = 1

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 8467

8467 = 8467

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8460 and 8467 is 1