BASIC MATH EXAMPLES


GREATEST COMMON FACTOR: GCF(28, 49) (PRIME FACTORS METHOD)


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RESULT

GCF(28, 49) = 7

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DESCRIPTIONS

Prime factorization of 28 :

2282417

(28 = 2 × 2 × 7)

Prime factorization of 49 :

7947

(49 = 7 × 7)

  • 28 = 2 × 2 × 7
  • 49 = 7 × 7

The only common prime factor of 28 and 49 is 7. GCF is equal to that prime factor.

GCF(28, 49) = 7

INFORMATION

The solution and descriptions above are generated by the GCF calculator. You can use the GCF calculator to see the greatest common factors of other numbers.

 
 

GCF OF TWO NUMBERS

The greatest common factor (GCF) of two positive whole numbers is the largest number that divides these numbers exactly. GCF can be found by using the prime factorization method. It is equal to the product of all common prime factors in the factorization.

OTHER INFORMATION

👉 Click here to see the GCF calculation of 28 and 49 using the cake method.

👉 Click here to see the LCM calculation of 28 and 49 using the cake method.

👉 Click here to see the LCM calculation of 28 and 49 using the prime factorization method.

 

EXAMPLES

GCF Examples