You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
Assuming the missing signs are pluses, that factors to (4a + 3)(a + 3)
61 and 73 are both prime numbers. Prime numbers don't have prime factorizations since they only have one prime factor. The GCF of any set of different prime numbers is 1, since they don't have any prime factors in common.
Since prime factorizations are 6 = 2 * 3, and 39 = 3 * 13, we can easily see the biggest common factor of those 6 and 39 is 3.
Prime Factorization of 16 = 2x2x2x2Prime Factorization of 46 = 2x23From factorizations it is clear that GCF of 16 and 46 = 2
to help find prime factorizations of composite numbers
Factor trees lead to prime factorizations. Negative numbers don't have prime factorizations. We'll do 98. If you want, you can put -1 in front of it. 98 49,2 7,7,2
To simplify fractions, it is necessary to divide the numerator and the denominator by their GCF. You can find their GCF by comparing their prime factorizations. You can find their prime factorizations through the use of factor trees.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
15a - 25b + 20 = 5 (3a - 5b + 4)
7
5(3a - 5b + 4)
5a(a(a-5)+3)
24x25
200 100,2 50,2,2 25,2,2,2 5,5,2,2,2
Assuming the missing signs are pluses, that factors to (4a + 3)(a + 3)
a(4a - 3)(3a - 5)