Greatest Common Factor of 7056 and 7060

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 7056, 7060 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7056 and 7060 is 4.

GCF(7056,7060) = 4

GCF of 7056 and 7060

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

GCF of:
and

Greatest Common Factor of 7056 and 7060

GCF of 7056 and 7060 is 4

Prime Factorization of 7056


2 7056
2 3528
2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 7056 are 2,3,7. Prime factorization of 7056 in exponential form is:

7056 = 24×32×72

Prime Factorization of 7060


2 7060
2 3530
5 1765
353 353
1

Prime factors of 7060 are 2,5,353. Prime factorization of 7060 in exponential form is:

7060 = 22×51×3531

∴ So by taking common prime factors GCF of 7056 and 7060 is 4

Greatest Common Factor of 7056 and 7060 by matching factors method

Factors of 7056

List of positive integer factors of 7056 that divides 7056 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056

Factors of 7060

List of positive integer factors of 7060 that divides 7060 without a remainder.

1,2,4,5,10,20,353,706,1412,1765,3530,7060

Greatest Common Factor

We found the factors and prime factorization of 7056 and 7060. The biggest common factor number is the GCF number.
So the greatest common factor 7056 and 7060 is 4.

Also check out the Least Common Multiple of 7056 and 7060

Properties of GCF 7056 and 7060

(i) The GCF of 7056 and 7060 is associative

GCF of 7056 and 7060 = GCF of 7060 and 7056

Related Greatest Common Factor of 7056

Related Greatest Common Factor of 7060

Frequently Asked Questions on GCF of 7056 and 7060

1. What is the GCF of 7056 and 7060?

Answer: GCF of 7056 and 7060 is 4.

2. What are the Factors of 7056?

Answer: Factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056. There are 45 integers that are factors of 7056. The greatest factor of 7056 is 7056.

3. What are the Factors of 7060?

Answer: Factors of 7060 are 1, 2, 4, 5, 10, 20, 353, 706, 1412, 1765, 3530, 7060. There are 12 integers that are factors of 7060. The greatest factor of 7060 is 7060.

4. How to Find the GCF of 7056 and 7060?

Answer:

Greatest Common Factor of 7056 and 7060 = 4

Step 1: Find the prime factorization of 7056

7056 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 7060

7060 = 2 x 2 x 5 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 = 4

Step 4: Therefore, the greatest common factor of 7056 and 7060 is 4