What is the trick to find the gcf of 1596 and 7182?

Answer 1

The factors of 1596 are: 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596

The factors of 7182 are: 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182

The common factors are: 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

• The Greatest Common Factor (GCF) is: 798

Answer 2

To find the greatest common factor (GCF) of 1596 and 7182, you can use the Euclidean algorithm. First, divide the larger number by the smaller number: 7182 ÷ 1596 = 4 with a remainder of 1170. Next, divide the smaller number (1596) by the remainder (1170): 1596 ÷ 1170 = 1 with a remainder of 426. Continue this process until you reach a remainder of 0. The last non-zero remainder is the GCF, which in this case is 6.

Answer 3

Well, when we're looking for the Greatest Common Factor (GCF), we want to find the largest number that divides evenly into both 1596 and 7182. One way to do this is to list out all the factors of each number and then find the largest one they have in common. Just take your time, be patient with yourself, and enjoy the process of finding the GCF like a happy little treasure hunt.