Greatest Common Factor of 10064 and 10072

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 10064, 10072 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10064 and 10072 is 8.

GCF(10064,10072) = 8

GCF of 10064 and 10072

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

GCF of:
and

Greatest Common Factor of 10064 and 10072

GCF of 10064 and 10072 is 8

Prime Factorization of 10064


2 10064
2 5032
2 2516
2 1258
17 629
37 37
1

Prime factors of 10064 are 2,17,37. Prime factorization of 10064 in exponential form is:

10064 = 24×171×371

Prime Factorization of 10072


2 10072
2 5036
2 2518
1259 1259
1

Prime factors of 10072 are 2,1259. Prime factorization of 10072 in exponential form is:

10072 = 23×12591

∴ So by taking common prime factors GCF of 10064 and 10072 is 8

Greatest Common Factor of 10064 and 10072 by matching factors method

Factors of 10064

List of positive integer factors of 10064 that divides 10064 without a remainder.

1,2,4,8,16,17,34,37,68,74,136,148,272,296,592,629,1258,2516,5032,10064

Factors of 10072

List of positive integer factors of 10072 that divides 10072 without a remainder.

1,2,4,8,1259,2518,5036,10072

Greatest Common Factor

We found the factors and prime factorization of 10064 and 10072. The biggest common factor number is the GCF number.
So the greatest common factor 10064 and 10072 is 8.

Also check out the Least Common Multiple of 10064 and 10072

Properties of GCF 10064 and 10072

(i) The GCF of 10064 and 10072 is associative

GCF of 10064 and 10072 = GCF of 10072 and 10064

Related Greatest Common Factor of 10064

Related Greatest Common Factor of 10072

Frequently Asked Questions on GCF of 10064 and 10072

1. What is the GCF of 10064 and 10072?

Answer: GCF of 10064 and 10072 is 8.

2. What are the Factors of 10064?

Answer: Factors of 10064 are 1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032, 10064. There are 20 integers that are factors of 10064. The greatest factor of 10064 is 10064.

3. What are the Factors of 10072?

Answer: Factors of 10072 are 1, 2, 4, 8, 1259, 2518, 5036, 10072. There are 8 integers that are factors of 10072. The greatest factor of 10072 is 10072.

4. How to Find the GCF of 10064 and 10072?

Answer:

Greatest Common Factor of 10064 and 10072 = 8

Step 1: Find the prime factorization of 10064

10064 = 2 x 2 x 2 x 2 x 17 x 37

Step 2: Find the prime factorization of 10072

10072 = 2 x 2 x 2 x 1259

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 10064 and 10072 is 8