Greatest Common Factor of 10072 and 10078

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 10072, 10078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10072 and 10078 is 2.

GCF(10072,10078) = 2

GCF of 10072 and 10078

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

GCF of:
and

Greatest Common Factor of 10072 and 10078

GCF of 10072 and 10078 is 2

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

Prime Factorization of 10078


2 10078
5039 5039
1

Prime factors of 10078 are 2,5039. Prime factorization of 10078 in exponential form is:

10078 = 21×50391

∴ So by taking common prime factors GCF of 10072 and 10078 is 2

Greatest Common Factor of 10072 and 10078 by matching factors method

Factors of 10072

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

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

Factors of 10078

List of positive integer factors of 10078 that divides 10078 without a remainder.

1,2,5039,10078

Greatest Common Factor

We found the factors and prime factorization of 10072 and 10078. The biggest common factor number is the GCF number.
So the greatest common factor 10072 and 10078 is 2.

Also check out the Least Common Multiple of 10072 and 10078

Properties of GCF 10072 and 10078

(i) The GCF of 10072 and 10078 is associative

GCF of 10072 and 10078 = GCF of 10078 and 10072

Related Greatest Common Factor of 10072

Related Greatest Common Factor of 10078

Frequently Asked Questions on GCF of 10072 and 10078

1. What is the GCF of 10072 and 10078?

Answer: GCF of 10072 and 10078 is 2.

2. 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.

3. What are the Factors of 10078?

Answer: Factors of 10078 are 1, 2, 5039, 10078. There are 4 integers that are factors of 10078. The greatest factor of 10078 is 10078.

4. How to Find the GCF of 10072 and 10078?

Answer:

Greatest Common Factor of 10072 and 10078 = 2

Step 1: Find the prime factorization of 10072

10072 = 2 x 2 x 2 x 1259

Step 2: Find the prime factorization of 10078

10078 = 2 x 5039

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 10072 and 10078 is 2