Greatest Common Factor of 1056 and 1064

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 1056, 1064 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1056 and 1064 is 8.

GCF(1056,1064) = 8

GCF of 1056 and 1064

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

GCF of:
and

Greatest Common Factor of 1056 and 1064

GCF of 1056 and 1064 is 8

Prime Factorization of 1056


2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 1056 are 2,3,11. Prime factorization of 1056 in exponential form is:

1056 = 25×31×111

Prime Factorization of 1064


2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 1064 are 2,7,19. Prime factorization of 1064 in exponential form is:

1064 = 23×71×191

∴ So by taking common prime factors GCF of 1056 and 1064 is 8

Greatest Common Factor of 1056 and 1064 by matching factors method

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064

Greatest Common Factor

We found the factors and prime factorization of 1056 and 1064. The biggest common factor number is the GCF number.
So the greatest common factor 1056 and 1064 is 8.

Also check out the Least Common Multiple of 1056 and 1064

Properties of GCF 1056 and 1064

(i) The GCF of 1056 and 1064 is associative

GCF of 1056 and 1064 = GCF of 1064 and 1056

Related Greatest Common Factor of 1056

Related Greatest Common Factor of 1064

Frequently Asked Questions on GCF of 1056 and 1064

1. What is the GCF of 1056 and 1064?

Answer: GCF of 1056 and 1064 is 8.

2. What are the Factors of 1056?

Answer: Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. There are 24 integers that are factors of 1056. The greatest factor of 1056 is 1056.

3. What are the Factors of 1064?

Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.

4. How to Find the GCF of 1056 and 1064?

Answer:

Greatest Common Factor of 1056 and 1064 = 8

Step 1: Find the prime factorization of 1056

1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1056 and 1064 is 8