Greatest Common Factor of 5070 and 5078

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 5070, 5078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5070 and 5078 is 2.

GCF(5070,5078) = 2

GCF of 5070 and 5078

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

GCF of:
and

Greatest Common Factor of 5070 and 5078

GCF of 5070 and 5078 is 2

Prime Factorization of 5070


2 5070
3 2535
5 845
13 169
13 13
1

Prime factors of 5070 are 2,3,5,13. Prime factorization of 5070 in exponential form is:

5070 = 21×31×51×132

Prime Factorization of 5078


2 5078
2539 2539
1

Prime factors of 5078 are 2,2539. Prime factorization of 5078 in exponential form is:

5078 = 21×25391

∴ So by taking common prime factors GCF of 5070 and 5078 is 2

Greatest Common Factor of 5070 and 5078 by matching factors method

Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070

Factors of 5078

List of positive integer factors of 5078 that divides 5078 without a remainder.

1,2,2539,5078

Greatest Common Factor

We found the factors and prime factorization of 5070 and 5078. The biggest common factor number is the GCF number.
So the greatest common factor 5070 and 5078 is 2.

Also check out the Least Common Multiple of 5070 and 5078

Properties of GCF 5070 and 5078

(i) The GCF of 5070 and 5078 is associative

GCF of 5070 and 5078 = GCF of 5078 and 5070

Related Greatest Common Factor of 5070

Related Greatest Common Factor of 5078

Frequently Asked Questions on GCF of 5070 and 5078

1. What is the GCF of 5070 and 5078?

Answer: GCF of 5070 and 5078 is 2.

2. What are the Factors of 5070?

Answer: Factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070. There are 24 integers that are factors of 5070. The greatest factor of 5070 is 5070.

3. What are the Factors of 5078?

Answer: Factors of 5078 are 1, 2, 2539, 5078. There are 4 integers that are factors of 5078. The greatest factor of 5078 is 5078.

4. How to Find the GCF of 5070 and 5078?

Answer:

Greatest Common Factor of 5070 and 5078 = 2

Step 1: Find the prime factorization of 5070

5070 = 2 x 3 x 5 x 13 x 13

Step 2: Find the prime factorization of 5078

5078 = 2 x 2539

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 5070 and 5078 is 2