Greatest Common Factor of 671 and 677

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 671, 677 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 671 and 677 is 1.

GCF(671,677) = 1

GCF of 671 and 677

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

GCF of:
and

Greatest Common Factor of 671 and 677

GCF of 671 and 677 is 1

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

Prime Factorization of 677


677 677
1

Prime factors of 677 are 677. Prime factorization of 677 in exponential form is:

677 = 6771

∴ So by taking common prime factors GCF of 671 and 677 is 1

Greatest Common Factor of 671 and 677 by matching factors method

Factors of 671

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

1,11,61,671

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors and prime factorization of 671 and 677. The biggest common factor number is the GCF number.
So the greatest common factor 671 and 677 is 1.

Also check out the Least Common Multiple of 671 and 677

Properties of GCF 671 and 677

(i) The GCF of 671 and 677 is associative

GCF of 671 and 677 = GCF of 677 and 671

Related Greatest Common Factor of 671

Related Greatest Common Factor of 677

Frequently Asked Questions on GCF of 671 and 677

1. What is the GCF of 671 and 677?

Answer: GCF of 671 and 677 is 1.

2. 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.

3. What are the Factors of 677?

Answer: Factors of 677 are 1, 677. There are 2 integers that are factors of 677. The greatest factor of 677 is 677.

4. How to Find the GCF of 671 and 677?

Answer:

Greatest Common Factor of 671 and 677 = 1

Step 1: Find the prime factorization of 671

671 = 11 x 61

Step 2: Find the prime factorization of 677

677 = 677

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 671 and 677 is 1