Greatest Common Factor of 670 and 671

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, 671 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 670 and 671 is 1.

GCF(670,671) = 1

GCF of 670 and 671

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

GCF of:
and

Greatest Common Factor of 670 and 671

GCF of 670 and 671 is 1

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 671


11 671
61 61
1

Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:

671 = 111×611

∴ So by taking common prime factors GCF of 670 and 671 is 1

Greatest Common Factor of 670 and 671 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 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors and prime factorization of 670 and 671. The biggest common factor number is the GCF number.
So the greatest common factor 670 and 671 is 1.

Also check out the Least Common Multiple of 670 and 671

Properties of GCF 670 and 671

(i) The GCF of 670 and 671 is associative

GCF of 670 and 671 = GCF of 671 and 670

Related Greatest Common Factor of 670

Related Greatest Common Factor of 671

Frequently Asked Questions on GCF of 670 and 671

1. What is the GCF of 670 and 671?

Answer: GCF of 670 and 671 is 1.

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 671?

Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.

4. How to Find the GCF of 670 and 671?

Answer:

Greatest Common Factor of 670 and 671 = 1

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 671

671 = 11 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 670 and 671 is 1