Greatest Common Factor of 5079 and 5085

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 5079, 5085 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5079 and 5085 is 3.

GCF(5079,5085) = 3

GCF of 5079 and 5085

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

GCF of:
and

Greatest Common Factor of 5079 and 5085

GCF of 5079 and 5085 is 3

Prime Factorization of 5079


3 5079
1693 1693
1

Prime factors of 5079 are 3,1693. Prime factorization of 5079 in exponential form is:

5079 = 31×16931

Prime Factorization of 5085


3 5085
3 1695
5 565
113 113
1

Prime factors of 5085 are 3,5,113. Prime factorization of 5085 in exponential form is:

5085 = 32×51×1131

∴ So by taking common prime factors GCF of 5079 and 5085 is 3

Greatest Common Factor of 5079 and 5085 by matching factors method

Factors of 5079

List of positive integer factors of 5079 that divides 5079 without a remainder.

1,3,1693,5079

Factors of 5085

List of positive integer factors of 5085 that divides 5085 without a remainder.

1,3,5,9,15,45,113,339,565,1017,1695,5085

Greatest Common Factor

We found the factors and prime factorization of 5079 and 5085. The biggest common factor number is the GCF number.
So the greatest common factor 5079 and 5085 is 3.

Also check out the Least Common Multiple of 5079 and 5085

Properties of GCF 5079 and 5085

(i) The GCF of 5079 and 5085 is associative

GCF of 5079 and 5085 = GCF of 5085 and 5079

Related Greatest Common Factor of 5079

Related Greatest Common Factor of 5085

Frequently Asked Questions on GCF of 5079 and 5085

1. What is the GCF of 5079 and 5085?

Answer: GCF of 5079 and 5085 is 3.

2. What are the Factors of 5079?

Answer: Factors of 5079 are 1, 3, 1693, 5079. There are 4 integers that are factors of 5079. The greatest factor of 5079 is 5079.

3. What are the Factors of 5085?

Answer: Factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085. There are 12 integers that are factors of 5085. The greatest factor of 5085 is 5085.

4. How to Find the GCF of 5079 and 5085?

Answer:

Greatest Common Factor of 5079 and 5085 = 3

Step 1: Find the prime factorization of 5079

5079 = 3 x 1693

Step 2: Find the prime factorization of 5085

5085 = 3 x 3 x 5 x 113

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5079 and 5085 is 3