Greatest Common Factor of 7850 and 7855

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 7850, 7855 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7850 and 7855 is 5.

GCF(7850,7855) = 5

GCF of 7850 and 7855

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

GCF of:
and

Greatest Common Factor of 7850 and 7855

GCF of 7850 and 7855 is 5

Prime Factorization of 7850


2 7850
5 3925
5 785
157 157
1

Prime factors of 7850 are 2,5,157. Prime factorization of 7850 in exponential form is:

7850 = 21×52×1571

Prime Factorization of 7855


5 7855
1571 1571
1

Prime factors of 7855 are 5,1571. Prime factorization of 7855 in exponential form is:

7855 = 51×15711

∴ So by taking common prime factors GCF of 7850 and 7855 is 5

Greatest Common Factor of 7850 and 7855 by matching factors method

Factors of 7850

List of positive integer factors of 7850 that divides 7850 without a remainder.

1,2,5,10,25,50,157,314,785,1570,3925,7850

Factors of 7855

List of positive integer factors of 7855 that divides 7855 without a remainder.

1,5,1571,7855

Greatest Common Factor

We found the factors and prime factorization of 7850 and 7855. The biggest common factor number is the GCF number.
So the greatest common factor 7850 and 7855 is 5.

Also check out the Least Common Multiple of 7850 and 7855

Properties of GCF 7850 and 7855

(i) The GCF of 7850 and 7855 is associative

GCF of 7850 and 7855 = GCF of 7855 and 7850

Related Greatest Common Factor of 7850

Related Greatest Common Factor of 7855

Frequently Asked Questions on GCF of 7850 and 7855

1. What is the GCF of 7850 and 7855?

Answer: GCF of 7850 and 7855 is 5.

2. What are the Factors of 7850?

Answer: Factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850. There are 12 integers that are factors of 7850. The greatest factor of 7850 is 7850.

3. What are the Factors of 7855?

Answer: Factors of 7855 are 1, 5, 1571, 7855. There are 4 integers that are factors of 7855. The greatest factor of 7855 is 7855.

4. How to Find the GCF of 7850 and 7855?

Answer:

Greatest Common Factor of 7850 and 7855 = 5

Step 1: Find the prime factorization of 7850

7850 = 2 x 5 x 5 x 157

Step 2: Find the prime factorization of 7855

7855 = 5 x 1571

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7850 and 7855 is 5