Greatest Common Factor of 6275 and 6280

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 6275, 6280 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6275 and 6280 is 5.

GCF(6275,6280) = 5

GCF of 6275 and 6280

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

GCF of:
and

Greatest Common Factor of 6275 and 6280

GCF of 6275 and 6280 is 5

Prime Factorization of 6275


5 6275
5 1255
251 251
1

Prime factors of 6275 are 5,251. Prime factorization of 6275 in exponential form is:

6275 = 52×2511

Prime Factorization of 6280


2 6280
2 3140
2 1570
5 785
157 157
1

Prime factors of 6280 are 2,5,157. Prime factorization of 6280 in exponential form is:

6280 = 23×51×1571

∴ So by taking common prime factors GCF of 6275 and 6280 is 5

Greatest Common Factor of 6275 and 6280 by matching factors method

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1,5,25,251,1255,6275

Factors of 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280

Greatest Common Factor

We found the factors and prime factorization of 6275 and 6280. The biggest common factor number is the GCF number.
So the greatest common factor 6275 and 6280 is 5.

Also check out the Least Common Multiple of 6275 and 6280

Properties of GCF 6275 and 6280

(i) The GCF of 6275 and 6280 is associative

GCF of 6275 and 6280 = GCF of 6280 and 6275

Related Greatest Common Factor of 6275

Related Greatest Common Factor of 6280

Frequently Asked Questions on GCF of 6275 and 6280

1. What is the GCF of 6275 and 6280?

Answer: GCF of 6275 and 6280 is 5.

2. What are the Factors of 6275?

Answer: Factors of 6275 are 1, 5, 25, 251, 1255, 6275. There are 6 integers that are factors of 6275. The greatest factor of 6275 is 6275.

3. What are the Factors of 6280?

Answer: Factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280. There are 16 integers that are factors of 6280. The greatest factor of 6280 is 6280.

4. How to Find the GCF of 6275 and 6280?

Answer:

Greatest Common Factor of 6275 and 6280 = 5

Step 1: Find the prime factorization of 6275

6275 = 5 x 5 x 251

Step 2: Find the prime factorization of 6280

6280 = 2 x 2 x 2 x 5 x 157

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 6275 and 6280 is 5