Greatest Common Factor of 664 and 670

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 664, 670 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 664 and 670 is 2.

GCF(664,670) = 2

GCF of 664 and 670

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

GCF of:
and

Greatest Common Factor of 664 and 670

GCF of 664 and 670 is 2

Prime Factorization of 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

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

∴ So by taking common prime factors GCF of 664 and 670 is 2

Greatest Common Factor of 664 and 670 by matching factors method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 670

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

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

Greatest Common Factor

We found the factors and prime factorization of 664 and 670. The biggest common factor number is the GCF number.
So the greatest common factor 664 and 670 is 2.

Also check out the Least Common Multiple of 664 and 670

Properties of GCF 664 and 670

(i) The GCF of 664 and 670 is associative

GCF of 664 and 670 = GCF of 670 and 664

Related Greatest Common Factor of 664

Related Greatest Common Factor of 670

Frequently Asked Questions on GCF of 664 and 670

1. What is the GCF of 664 and 670?

Answer: GCF of 664 and 670 is 2.

2. What are the Factors of 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

3. 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.

4. How to Find the GCF of 664 and 670?

Answer:

Greatest Common Factor of 664 and 670 = 2

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 670

670 = 2 x 5 x 67

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 664 and 670 is 2