Greatest Common Factor of 642 and 648

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 642, 648 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 642 and 648 is 6.

GCF(642,648) = 6

GCF of 642 and 648

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

GCF of:
and

Greatest Common Factor of 642 and 648

GCF of 642 and 648 is 6

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2,3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

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

∴ So by taking common prime factors GCF of 642 and 648 is 6

Greatest Common Factor of 642 and 648 by matching factors method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

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

Greatest Common Factor

We found the factors and prime factorization of 642 and 648. The biggest common factor number is the GCF number.
So the greatest common factor 642 and 648 is 6.

Also check out the Least Common Multiple of 642 and 648

Properties of GCF 642 and 648

(i) The GCF of 642 and 648 is associative

GCF of 642 and 648 = GCF of 648 and 642

Related Greatest Common Factor of 642

Related Greatest Common Factor of 648

Frequently Asked Questions on GCF of 642 and 648

1. What is the GCF of 642 and 648?

Answer: GCF of 642 and 648 is 6.

2. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

3. 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.

4. How to Find the GCF of 642 and 648?

Answer:

Greatest Common Factor of 642 and 648 = 6

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

Step 2: Find the prime factorization of 648

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 642 and 648 is 6