Greatest Common Factor of 7850 and 7852

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, 7852 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7850 and 7852 is 2.

GCF(7850,7852) = 2

GCF of 7850 and 7852

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

GCF of:
and

Greatest Common Factor of 7850 and 7852

GCF of 7850 and 7852 is 2

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 7852


2 7852
2 3926
13 1963
151 151
1

Prime factors of 7852 are 2,13,151. Prime factorization of 7852 in exponential form is:

7852 = 22×131×1511

∴ So by taking common prime factors GCF of 7850 and 7852 is 2

Greatest Common Factor of 7850 and 7852 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 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors and prime factorization of 7850 and 7852. The biggest common factor number is the GCF number.
So the greatest common factor 7850 and 7852 is 2.

Also check out the Least Common Multiple of 7850 and 7852

Properties of GCF 7850 and 7852

(i) The GCF of 7850 and 7852 is associative

GCF of 7850 and 7852 = GCF of 7852 and 7850

Related Greatest Common Factor of 7850

Related Greatest Common Factor of 7852

Frequently Asked Questions on GCF of 7850 and 7852

1. What is the GCF of 7850 and 7852?

Answer: GCF of 7850 and 7852 is 2.

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 7852?

Answer: Factors of 7852 are 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852. There are 12 integers that are factors of 7852. The greatest factor of 7852 is 7852.

4. How to Find the GCF of 7850 and 7852?

Answer:

Greatest Common Factor of 7850 and 7852 = 2

Step 1: Find the prime factorization of 7850

7850 = 2 x 5 x 5 x 157

Step 2: Find the prime factorization of 7852

7852 = 2 x 2 x 13 x 151

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 7850 and 7852 is 2