Greatest Common Factor of 8452 and 8460

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 8452, 8460 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8452 and 8460 is 4.

GCF(8452,8460) = 4

GCF of 8452 and 8460

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

GCF of:
and

Greatest Common Factor of 8452 and 8460

GCF of 8452 and 8460 is 4

Prime Factorization of 8452


2 8452
2 4226
2113 2113
1

Prime factors of 8452 are 2,2113. Prime factorization of 8452 in exponential form is:

8452 = 22×21131

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

∴ So by taking common prime factors GCF of 8452 and 8460 is 4

Greatest Common Factor of 8452 and 8460 by matching factors method

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1,2,4,2113,4226,8452

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

Greatest Common Factor

We found the factors and prime factorization of 8452 and 8460. The biggest common factor number is the GCF number.
So the greatest common factor 8452 and 8460 is 4.

Also check out the Least Common Multiple of 8452 and 8460

Properties of GCF 8452 and 8460

(i) The GCF of 8452 and 8460 is associative

GCF of 8452 and 8460 = GCF of 8460 and 8452

Related Greatest Common Factor of 8452

Related Greatest Common Factor of 8460

Frequently Asked Questions on GCF of 8452 and 8460

1. What is the GCF of 8452 and 8460?

Answer: GCF of 8452 and 8460 is 4.

2. What are the Factors of 8452?

Answer: Factors of 8452 are 1, 2, 4, 2113, 4226, 8452. There are 6 integers that are factors of 8452. The greatest factor of 8452 is 8452.

3. 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.

4. How to Find the GCF of 8452 and 8460?

Answer:

Greatest Common Factor of 8452 and 8460 = 4

Step 1: Find the prime factorization of 8452

8452 = 2 x 2 x 2113

Step 2: Find the prime factorization of 8460

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

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 8452 and 8460 is 4