Greatest Common Factor of 1061 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 1061, 1064 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1061 and 1064 is 1.

GCF(1061,1064) = 1

GCF of 1061 and 1064

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

GCF of:
and

Greatest Common Factor of 1061 and 1064

GCF of 1061 and 1064 is 1

Prime Factorization of 1061


1061 1061
1

Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:

1061 = 10611

Prime Factorization of 1064


2 1064
2 532
2 266
7 133
19 19
1

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

1064 = 23×71×191

∴ So by taking common prime factors GCF of 1061 and 1064 is 1

Greatest Common Factor of 1061 and 1064 by matching factors method

Factors of 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1,1061

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 1061 and 1064. The biggest common factor number is the GCF number.
So the greatest common factor 1061 and 1064 is 1.

Also check out the Least Common Multiple of 1061 and 1064

Properties of GCF 1061 and 1064

(i) The GCF of 1061 and 1064 is associative

GCF of 1061 and 1064 = GCF of 1064 and 1061

Related Greatest Common Factor of 1061

Related Greatest Common Factor of 1064

Frequently Asked Questions on GCF of 1061 and 1064

1. What is the GCF of 1061 and 1064?

Answer: GCF of 1061 and 1064 is 1.

2. What are the Factors of 1061?

Answer: Factors of 1061 are 1, 1061. There are 2 integers that are factors of 1061. The greatest factor of 1061 is 1061.

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 1061 and 1064?

Answer:

Greatest Common Factor of 1061 and 1064 = 1

Step 1: Find the prime factorization of 1061

1061 = 1061

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 = = 1

Step 4: Therefore, the greatest common factor of 1061 and 1064 is 1