Greatest Common Factor of 670 and 678

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

Greatest common factor (GCF) of 670 and 678 is 2.

GCF(670,678) = 2

GCF of 670 and 678

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

GCF of:
and

Greatest Common Factor of 670 and 678

GCF of 670 and 678 is 2

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 678


2 678
3 339
113 113
1

Prime factors of 678 are 2,3,113. Prime factorization of 678 in exponential form is:

678 = 21×31×1131

∴ So by taking common prime factors GCF of 670 and 678 is 2

Greatest Common Factor of 670 and 678 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 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors and prime factorization of 670 and 678. The biggest common factor number is the GCF number.
So the greatest common factor 670 and 678 is 2.

Also check out the Least Common Multiple of 670 and 678

Properties of GCF 670 and 678

(i) The GCF of 670 and 678 is associative

GCF of 670 and 678 = GCF of 678 and 670

Related Greatest Common Factor of 670

Related Greatest Common Factor of 678

Frequently Asked Questions on GCF of 670 and 678

1. What is the GCF of 670 and 678?

Answer: GCF of 670 and 678 is 2.

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 678?

Answer: Factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678. There are 8 integers that are factors of 678. The greatest factor of 678 is 678.

4. How to Find the GCF of 670 and 678?

Answer:

Greatest Common Factor of 670 and 678 = 2

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 678

678 = 2 x 3 x 113

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 670 and 678 is 2