How do you find the GCF of #30a^2, 50ab^2#?

1 Answer

Factor each monomial and multiply all the common factors together to find the Greatest Common Factor which is #10a#

Explanation:

# 30a^2# can be factored into #2 xx 3 xx 5 xx " "a xx a#

# 50ab^2# can be factored into # 2" " xx 5 xx 5 xx a " "xx b xx b#

The common factors are # 2, 5, and a# multiplying these factors together gives

# 2 xx 5 xx a = 10a #