Greatest Common Factor of 646 and 647

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 646, 647 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 646 and 647 is 1.

GCF(646,647) = 1

GCF of 646 and 647

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

GCF of:
and

Greatest Common Factor of 646 and 647

GCF of 646 and 647 is 1

Prime Factorization of 646


2 646
17 323
19 19
1

Prime factors of 646 are 2,17,19. Prime factorization of 646 in exponential form is:

646 = 21×171×191

Prime Factorization of 647


647 647
1

Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:

647 = 6471

∴ So by taking common prime factors GCF of 646 and 647 is 1

Greatest Common Factor of 646 and 647 by matching factors method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors and prime factorization of 646 and 647. The biggest common factor number is the GCF number.
So the greatest common factor 646 and 647 is 1.

Also check out the Least Common Multiple of 646 and 647

Properties of GCF 646 and 647

(i) The GCF of 646 and 647 is associative

GCF of 646 and 647 = GCF of 647 and 646

Related Greatest Common Factor of 646

Related Greatest Common Factor of 647

Frequently Asked Questions on GCF of 646 and 647

1. What is the GCF of 646 and 647?

Answer: GCF of 646 and 647 is 1.

2. What are the Factors of 646?

Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.

3. What are the Factors of 647?

Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.

4. How to Find the GCF of 646 and 647?

Answer:

Greatest Common Factor of 646 and 647 = 1

Step 1: Find the prime factorization of 646

646 = 2 x 17 x 19

Step 2: Find the prime factorization of 647

647 = 647

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 646 and 647 is 1