Prime powers are commonly used when we factor a number or when we determine the GCD or the LCM of two or more numbers.

#### Examples

- 72 = 2
^{3}× 3^{2}

32 = 2^{5}

200 = 2^{3}× 5^{2}

PGCD (72, 32, 200) = 2^{3}= 8

PPCM(72, 32, 200) = 2^{5}× 3^{2}× 5^{2}= 32 × 9 × 25 = 7200 - The number 16 is a prime power because 16 = 2
^{4}. - The number 625 is a prime power because 625 = 5
^{4}. - The number 18 is not a prime power because it cannot be expressed as a power of a single prime number.