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In order to find the greatest common factor, we should factorize both terms and identify which factors are common.

Term | Split up into factors |
---|---|

$5x$ | $5⋅x$ |

$25$ | $5⋅5$ |

When both terms have been broken up into in factors, you see that both contain a 5, and so you can factor this out of the expression. $5⋅x+5⋅5⇔5(x+5)$

b

Proceed in the same way again and start by splitting the terms into factors.

Term | Split up into factors |
---|---|

$4a$ | $2⋅2⋅a$ |

$4b$ | $2⋅2⋅b$ |

c

Split the terms up into factors.

Term | Split up into factors |
---|---|

$81x$ | $3⋅3⋅3⋅3⋅x$ |

$27y$ | $3⋅3⋅3⋅y$ |