Greatest Common Factor of 7064 and 7072

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 7064, 7072 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7064 and 7072 is 8.

GCF(7064,7072) = 8

GCF of 7064 and 7072

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

GCF of:
and

Greatest Common Factor of 7064 and 7072

GCF of 7064 and 7072 is 8

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

Prime Factorization of 7072


2 7072
2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 7072 are 2,13,17. Prime factorization of 7072 in exponential form is:

7072 = 25×131×171

∴ So by taking common prime factors GCF of 7064 and 7072 is 8

Greatest Common Factor of 7064 and 7072 by matching factors method

Factors of 7064

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

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

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072

Greatest Common Factor

We found the factors and prime factorization of 7064 and 7072. The biggest common factor number is the GCF number.
So the greatest common factor 7064 and 7072 is 8.

Also check out the Least Common Multiple of 7064 and 7072

Properties of GCF 7064 and 7072

(i) The GCF of 7064 and 7072 is associative

GCF of 7064 and 7072 = GCF of 7072 and 7064

Related Greatest Common Factor of 7064

Related Greatest Common Factor of 7072

Frequently Asked Questions on GCF of 7064 and 7072

1. What is the GCF of 7064 and 7072?

Answer: GCF of 7064 and 7072 is 8.

2. 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.

3. What are the Factors of 7072?

Answer: Factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. There are 24 integers that are factors of 7072. The greatest factor of 7072 is 7072.

4. How to Find the GCF of 7064 and 7072?

Answer:

Greatest Common Factor of 7064 and 7072 = 8

Step 1: Find the prime factorization of 7064

7064 = 2 x 2 x 2 x 883

Step 2: Find the prime factorization of 7072

7072 = 2 x 2 x 2 x 2 x 2 x 13 x 17

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 7064 and 7072 is 8