Greatest Common Factor of 648 and 649

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 648, 649 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 648 and 649 is 1.

GCF(648,649) = 1

GCF of 648 and 649

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

GCF of:
and

Greatest Common Factor of 648 and 649

GCF of 648 and 649 is 1

Prime Factorization of 648


2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 648 are 2,3. Prime factorization of 648 in exponential form is:

648 = 23×34

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

∴ So by taking common prime factors GCF of 648 and 649 is 1

Greatest Common Factor of 648 and 649 by matching factors method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 649

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

1,11,59,649

Greatest Common Factor

We found the factors and prime factorization of 648 and 649. The biggest common factor number is the GCF number.
So the greatest common factor 648 and 649 is 1.

Also check out the Least Common Multiple of 648 and 649

Properties of GCF 648 and 649

(i) The GCF of 648 and 649 is associative

GCF of 648 and 649 = GCF of 649 and 648

Related Greatest Common Factor of 648

Related Greatest Common Factor of 649

Frequently Asked Questions on GCF of 648 and 649

1. What is the GCF of 648 and 649?

Answer: GCF of 648 and 649 is 1.

2. What are the Factors of 648?

Answer: Factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648. There are 20 integers that are factors of 648. The greatest factor of 648 is 648.

3. 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.

4. How to Find the GCF of 648 and 649?

Answer:

Greatest Common Factor of 648 and 649 = 1

Step 1: Find the prime factorization of 648

648 = 2 x 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 649

649 = 11 x 59

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 648 and 649 is 1