English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Find the GCF 54 , 45

Solution

gcf

54, 45

9

Solution steps

54, 45

Prime factorization of

54 : 2 \cdot 3 \cdot 3 \cdot 3

54

54

divides by

254 = 27 \cdot 2

= 2 \cdot 27

27

divides by

327 = 9 \cdot 3

= 2 \cdot 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3 \cdot 3

Prime factorization of

45 : 3 \cdot 3 \cdot 5

45

45

divides by

345 = 15 \cdot 3

= 3 \cdot 15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 5

The prime factors common to

54, 45

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

t o a p erce n t a g e 11/19

\frac{21}{16}

\frac{13}{8}

\frac{52}{6}

\frac{78}{2}