Greatest Common Factor of 6570 and 6576

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 6570, 6576 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6570 and 6576 is 6.

GCF(6570,6576) = 6

GCF of 6570 and 6576

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

GCF of:
and

Greatest Common Factor of 6570 and 6576

GCF of 6570 and 6576 is 6

Prime Factorization of 6570


2 6570
3 3285
3 1095
5 365
73 73
1

Prime factors of 6570 are 2,3,5,73. Prime factorization of 6570 in exponential form is:

6570 = 21×32×51×731

Prime Factorization of 6576


2 6576
2 3288
2 1644
2 822
3 411
137 137
1

Prime factors of 6576 are 2,3,137. Prime factorization of 6576 in exponential form is:

6576 = 24×31×1371

∴ So by taking common prime factors GCF of 6570 and 6576 is 6

Greatest Common Factor of 6570 and 6576 by matching factors method

Factors of 6570

List of positive integer factors of 6570 that divides 6570 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570

Factors of 6576

List of positive integer factors of 6576 that divides 6576 without a remainder.

1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576

Greatest Common Factor

We found the factors and prime factorization of 6570 and 6576. The biggest common factor number is the GCF number.
So the greatest common factor 6570 and 6576 is 6.

Also check out the Least Common Multiple of 6570 and 6576

Properties of GCF 6570 and 6576

(i) The GCF of 6570 and 6576 is associative

GCF of 6570 and 6576 = GCF of 6576 and 6570

Related Greatest Common Factor of 6570

Related Greatest Common Factor of 6576

Frequently Asked Questions on GCF of 6570 and 6576

1. What is the GCF of 6570 and 6576?

Answer: GCF of 6570 and 6576 is 6.

2. What are the Factors of 6570?

Answer: Factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570. There are 24 integers that are factors of 6570. The greatest factor of 6570 is 6570.

3. What are the Factors of 6576?

Answer: Factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576. There are 20 integers that are factors of 6576. The greatest factor of 6576 is 6576.

4. How to Find the GCF of 6570 and 6576?

Answer:

Greatest Common Factor of 6570 and 6576 = 6

Step 1: Find the prime factorization of 6570

6570 = 2 x 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 6576

6576 = 2 x 2 x 2 x 2 x 3 x 137

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6570 and 6576 is 6