Greatest Common Factor of 10072 and 10079

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, 10079 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10072 and 10079 is 1.

GCF(10072,10079) = 1

GCF of 10072 and 10079

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

GCF of:
and

Greatest Common Factor of 10072 and 10079

GCF of 10072 and 10079 is 1

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 10079


10079 10079
1

Prime factors of 10079 are 10079. Prime factorization of 10079 in exponential form is:

10079 = 100791

∴ So by taking common prime factors GCF of 10072 and 10079 is 1

Greatest Common Factor of 10072 and 10079 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 10079

List of positive integer factors of 10079 that divides 10079 without a remainder.

1,10079

Greatest Common Factor

We found the factors and prime factorization of 10072 and 10079. The biggest common factor number is the GCF number.
So the greatest common factor 10072 and 10079 is 1.

Also check out the Least Common Multiple of 10072 and 10079

Properties of GCF 10072 and 10079

(i) The GCF of 10072 and 10079 is associative

GCF of 10072 and 10079 = GCF of 10079 and 10072

Related Greatest Common Factor of 10072

Related Greatest Common Factor of 10079

Frequently Asked Questions on GCF of 10072 and 10079

1. What is the GCF of 10072 and 10079?

Answer: GCF of 10072 and 10079 is 1.

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 10079?

Answer: Factors of 10079 are 1, 10079. There are 2 integers that are factors of 10079. The greatest factor of 10079 is 10079.

4. How to Find the GCF of 10072 and 10079?

Answer:

Greatest Common Factor of 10072 and 10079 = 1

Step 1: Find the prime factorization of 10072

10072 = 2 x 2 x 2 x 1259

Step 2: Find the prime factorization of 10079

10079 = 10079

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 10072 and 10079 is 1