Greatest Common Factor of 670 and 675

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 670, 675 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 670 and 675 is 5.

GCF(670,675) = 5

GCF of 670 and 675

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

GCF of:
and

Greatest Common Factor of 670 and 675

GCF of 670 and 675 is 5

Prime Factorization of 670


2 670
5 335
67 67
1

Prime factors of 670 are 2,5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

Prime Factorization of 675


3 675
3 225
3 75
5 25
5 5
1

Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:

675 = 33×52

∴ So by taking common prime factors GCF of 670 and 675 is 5

Greatest Common Factor of 670 and 675 by matching factors method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors and prime factorization of 670 and 675. The biggest common factor number is the GCF number.
So the greatest common factor 670 and 675 is 5.

Also check out the Least Common Multiple of 670 and 675

Properties of GCF 670 and 675

(i) The GCF of 670 and 675 is associative

GCF of 670 and 675 = GCF of 675 and 670

Related Greatest Common Factor of 670

Related Greatest Common Factor of 675

Frequently Asked Questions on GCF of 670 and 675

1. What is the GCF of 670 and 675?

Answer: GCF of 670 and 675 is 5.

2. What are the Factors of 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

3. What are the Factors of 675?

Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.

4. How to Find the GCF of 670 and 675?

Answer:

Greatest Common Factor of 670 and 675 = 5

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 675

675 = 3 x 3 x 3 x 5 x 5

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 670 and 675 is 5