2
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 268 and 515 is 1.
Itself
Answer:The greatest common factor of 174 and 268 is 2.The common factors of 174 and 268 are 1 and 2.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 174 are 1, 2, 3, 6, 29, 58, 87, and 174.The factors of 268 are 1, 2, 4, 67, 134, and 268.The common factors are 1 and 2. Therefore, the greatest common factor is 2.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 174 are 2, 3, and 29.The prime factors of 268 are 2, 2, and 67.The prime factors they have in common are a single 2, so the greatest common factor is 2.
Factors of 232: 1, 2, 4, 8, 29, 58, 116, 232.Factors of 268: 1, 2, 4, 67, 134, 268.Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288.GCF (232, 268, 288) = 4
1, 2, 4, 67, 134, 268
268/1
{1*268} {2*134} {4*67}
268 = 2 x 2 x 67
300
factor pair = 268,1factor pair = 134,2factor pair = 67,4
268 is a composite number because it has at least one positive factor other than one or itself.