The GCF is 7b.
The greatest common factor is 7a.21ab+35a=7a(3b+5)GCF(21ab, 35a) = 7a. How? Factor out each term to get:21ab = 3 x 7 x a x b35a = 5 x 7 x aThe factors that occur both in 21ab and 35a are 7 and a. Therefore, the GCF is 7a.
You need at least two terms to find a GCF.
Well, honey, the greatest common factor in 21ab and 14b is 7b. You see, 21 can be broken down into 3 x 7, and 14 can be broken down into 2 x 7. And since they both have a b in common, that's your greatest common factor right there. Math made sassy!
The factors of 21ab are 1, 3, 7, 21, a, and b.
7b
The LCM is 42a2b3.
You can take 7b out of both of those, leaving 3a and 2
The prime factors of 21 are 3 and 7.The prime factors of 14 are 2 and 7.The greatest common factor of 21 and 14 is 7.21ab and 14b also have another factor in common - b. So, the greatest common factor of 21ab and 14b would appear to be 7b . However, it is possible that a and 14 share a common factor of 2, in which case the greatest common factor of 21ab and 14b would be 14b.In summary, if a is an even number (i.e. having a factor of 2), the greatest common factor is 14b.If a is not an even number, the greatest common factor is 7b.gcf(21ab, 14b) = 7b.
The GCF is 6.
The GCF is 9.
The GCF is 4.