Greatest Common Factor of 649 and 656

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 649, 656 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 649 and 656 is 1.

GCF(649,656) = 1

GCF of 649 and 656

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

GCF of:
and

Greatest Common Factor of 649 and 656

GCF of 649 and 656 is 1

Prime Factorization of 649


11 649
59 59
1

Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:

649 = 111×591

Prime Factorization of 656


2 656
2 328
2 164
2 82
41 41
1

Prime factors of 656 are 2,41. Prime factorization of 656 in exponential form is:

656 = 24×411

∴ So by taking common prime factors GCF of 649 and 656 is 1

Greatest Common Factor of 649 and 656 by matching factors method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors and prime factorization of 649 and 656. The biggest common factor number is the GCF number.
So the greatest common factor 649 and 656 is 1.

Also check out the Least Common Multiple of 649 and 656

Properties of GCF 649 and 656

(i) The GCF of 649 and 656 is associative

GCF of 649 and 656 = GCF of 656 and 649

Related Greatest Common Factor of 649

Related Greatest Common Factor of 656

Frequently Asked Questions on GCF of 649 and 656

1. What is the GCF of 649 and 656?

Answer: GCF of 649 and 656 is 1.

2. What are the Factors of 649?

Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.

3. What are the Factors of 656?

Answer: Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. There are 10 integers that are factors of 656. The greatest factor of 656 is 656.

4. How to Find the GCF of 649 and 656?

Answer:

Greatest Common Factor of 649 and 656 = 1

Step 1: Find the prime factorization of 649

649 = 11 x 59

Step 2: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

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 649 and 656 is 1