Greatest Common Factor of 1057 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 1057, 1064 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1057 and 1064 is 7.

GCF(1057,1064) = 7

GCF of 1057 and 1064

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

GCF of:
and

Greatest Common Factor of 1057 and 1064

GCF of 1057 and 1064 is 7

Prime Factorization of 1057


7 1057
151 151
1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

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 1057 and 1064 is 7

Greatest Common Factor of 1057 and 1064 by matching factors method

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1,7,151,1057

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 1057 and 1064. The biggest common factor number is the GCF number.
So the greatest common factor 1057 and 1064 is 7.

Also check out the Least Common Multiple of 1057 and 1064

Properties of GCF 1057 and 1064

(i) The GCF of 1057 and 1064 is associative

GCF of 1057 and 1064 = GCF of 1064 and 1057

Related Greatest Common Factor of 1057

Related Greatest Common Factor of 1064

Frequently Asked Questions on GCF of 1057 and 1064

1. What is the GCF of 1057 and 1064?

Answer: GCF of 1057 and 1064 is 7.

2. What are the Factors of 1057?

Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.

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 1057 and 1064?

Answer:

Greatest Common Factor of 1057 and 1064 = 7

Step 1: Find the prime factorization of 1057

1057 = 7 x 151

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 = 7

Step 4: Therefore, the greatest common factor of 1057 and 1064 is 7