Well, isn't that just a happy little math question! To find the Greatest Common Factor (GCF) of 34, 85, and 102, we can start by finding the factors of each number. The GCF is the largest number that divides evenly into each of the numbers, so let's explore those factors and find the common one that brings harmony to these numbers. Just like adding colors to a painting, we'll find the common factor that brings these numbers together beautifully.
Chat with our AI personalities
The GCF is 17.
The GCF is 17.
The factors of 102 are:1, 2, 3, 6, 17, 34, 51, 102The factors of 136 are:1, 2, 4, 8, 17, 34, 68, 136The common factors are:1, 2, 17, 34The Greatest Common Factor:GCF = 34
To find the greatest common factor (GCF) of 34, 51, and 85, we first need to find the prime factorization of each number. The prime factorization of 34 is 2 x 17, 51 is 3 x 17, and 85 is 5 x 17. The common factor among these three numbers is 17, making the GCF of 34, 51, and 85 equal to 17.
The greatest common factor of 34, 51, and 102 is 17.