Greatest Common Factor of 79064 and 79072

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 79064, 79072 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 79064 and 79072 is 8.

GCF(79064,79072) = 8

GCF of 79064 and 79072

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

GCF of:
and

Greatest Common Factor of 79064 and 79072

GCF of 79064 and 79072 is 8

Prime Factorization of 79064


2 79064
2 39532
2 19766
9883 9883
1

Prime factors of 79064 are 2,9883. Prime factorization of 79064 in exponential form is:

79064 = 23×98831

Prime Factorization of 79072


2 79072
2 39536
2 19768
2 9884
2 4942
7 2471
353 353
1

Prime factors of 79072 are 2,7,353. Prime factorization of 79072 in exponential form is:

79072 = 25×71×3531

∴ So by taking common prime factors GCF of 79064 and 79072 is 8

Greatest Common Factor of 79064 and 79072 by matching factors method

Factors of 79064

List of positive integer factors of 79064 that divides 79064 without a remainder.

1,2,4,8,9883,19766,39532,79064

Factors of 79072

List of positive integer factors of 79072 that divides 79072 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224,353,706,1412,2471,2824,4942,5648,9884,11296,19768,39536,79072

Greatest Common Factor

We found the factors and prime factorization of 79064 and 79072. The biggest common factor number is the GCF number.
So the greatest common factor 79064 and 79072 is 8.

Also check out the Least Common Multiple of 79064 and 79072

Properties of GCF 79064 and 79072

(i) The GCF of 79064 and 79072 is associative

GCF of 79064 and 79072 = GCF of 79072 and 79064

Related Greatest Common Factor of 79064

Related Greatest Common Factor of 79072

Frequently Asked Questions on GCF of 79064 and 79072

1. What is the GCF of 79064 and 79072?

Answer: GCF of 79064 and 79072 is 8.

2. What are the Factors of 79064?

Answer: Factors of 79064 are 1, 2, 4, 8, 9883, 19766, 39532, 79064. There are 8 integers that are factors of 79064. The greatest factor of 79064 is 79064.

3. What are the Factors of 79072?

Answer: Factors of 79072 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 353, 706, 1412, 2471, 2824, 4942, 5648, 9884, 11296, 19768, 39536, 79072. There are 24 integers that are factors of 79072. The greatest factor of 79072 is 79072.

4. How to Find the GCF of 79064 and 79072?

Answer:

Greatest Common Factor of 79064 and 79072 = 8

Step 1: Find the prime factorization of 79064

79064 = 2 x 2 x 2 x 9883

Step 2: Find the prime factorization of 79072

79072 = 2 x 2 x 2 x 2 x 2 x 7 x 353

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 79064 and 79072 is 8