Greatest Common Factor of 6350 and 6355

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 6350, 6355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6350 and 6355 is 5.

GCF(6350,6355) = 5

GCF of 6350 and 6355

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

GCF of:
and

Greatest Common Factor of 6350 and 6355

GCF of 6350 and 6355 is 5

Prime Factorization of 6350


2 6350
5 3175
5 635
127 127
1

Prime factors of 6350 are 2,5,127. Prime factorization of 6350 in exponential form is:

6350 = 21×52×1271

Prime Factorization of 6355


5 6355
31 1271
41 41
1

Prime factors of 6355 are 5,31,41. Prime factorization of 6355 in exponential form is:

6355 = 51×311×411

∴ So by taking common prime factors GCF of 6350 and 6355 is 5

Greatest Common Factor of 6350 and 6355 by matching factors method

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1,2,5,10,25,50,127,254,635,1270,3175,6350

Factors of 6355

List of positive integer factors of 6355 that divides 6355 without a remainder.

1,5,31,41,155,205,1271,6355

Greatest Common Factor

We found the factors and prime factorization of 6350 and 6355. The biggest common factor number is the GCF number.
So the greatest common factor 6350 and 6355 is 5.

Also check out the Least Common Multiple of 6350 and 6355

Properties of GCF 6350 and 6355

(i) The GCF of 6350 and 6355 is associative

GCF of 6350 and 6355 = GCF of 6355 and 6350

Related Greatest Common Factor of 6350

Related Greatest Common Factor of 6355

Frequently Asked Questions on GCF of 6350 and 6355

1. What is the GCF of 6350 and 6355?

Answer: GCF of 6350 and 6355 is 5.

2. What are the Factors of 6350?

Answer: Factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350. There are 12 integers that are factors of 6350. The greatest factor of 6350 is 6350.

3. What are the Factors of 6355?

Answer: Factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355. There are 8 integers that are factors of 6355. The greatest factor of 6355 is 6355.

4. How to Find the GCF of 6350 and 6355?

Answer:

Greatest Common Factor of 6350 and 6355 = 5

Step 1: Find the prime factorization of 6350

6350 = 2 x 5 x 5 x 127

Step 2: Find the prime factorization of 6355

6355 = 5 x 31 x 41

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 6350 and 6355 is 5