Greatest Common Factor of 7059 and 7064

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 7059, 7064 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7059 and 7064 is 1.

GCF(7059,7064) = 1

GCF of 7059 and 7064

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

GCF of:
and

Greatest Common Factor of 7059 and 7064

GCF of 7059 and 7064 is 1

Prime Factorization of 7059


3 7059
13 2353
181 181
1

Prime factors of 7059 are 3,13,181. Prime factorization of 7059 in exponential form is:

7059 = 31×131×1811

Prime Factorization of 7064


2 7064
2 3532
2 1766
883 883
1

Prime factors of 7064 are 2,883. Prime factorization of 7064 in exponential form is:

7064 = 23×8831

∴ So by taking common prime factors GCF of 7059 and 7064 is 1

Greatest Common Factor of 7059 and 7064 by matching factors method

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1,3,13,39,181,543,2353,7059

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1,2,4,8,883,1766,3532,7064

Greatest Common Factor

We found the factors and prime factorization of 7059 and 7064. The biggest common factor number is the GCF number.
So the greatest common factor 7059 and 7064 is 1.

Also check out the Least Common Multiple of 7059 and 7064

Properties of GCF 7059 and 7064

(i) The GCF of 7059 and 7064 is associative

GCF of 7059 and 7064 = GCF of 7064 and 7059

Related Greatest Common Factor of 7059

Related Greatest Common Factor of 7064

Frequently Asked Questions on GCF of 7059 and 7064

1. What is the GCF of 7059 and 7064?

Answer: GCF of 7059 and 7064 is 1.

2. What are the Factors of 7059?

Answer: Factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059. There are 8 integers that are factors of 7059. The greatest factor of 7059 is 7059.

3. What are the Factors of 7064?

Answer: Factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064. There are 8 integers that are factors of 7064. The greatest factor of 7064 is 7064.

4. How to Find the GCF of 7059 and 7064?

Answer:

Greatest Common Factor of 7059 and 7064 = 1

Step 1: Find the prime factorization of 7059

7059 = 3 x 13 x 181

Step 2: Find the prime factorization of 7064

7064 = 2 x 2 x 2 x 883

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 7059 and 7064 is 1