To find the Greatest Common Factor (GCF) of 52, 78, 91, and 117, we first need to find the prime factorization of each number. The prime factorization of 52 is 2^2 * 13, 78 is 2 * 3 * 13, 91 is 7 * 13, and 117 is 3^2 * 13. The common prime factors among these numbers are 13. Therefore, the GCF of 52, 78, 91, and 117 is 13.
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The GCF is 13.
The factors of 52 are:
1, 2, 4, 13, 26, 52
The factors of 78 are:
1, 2, 3, 6, 13, 26, 39, 78
The factors of 91 are:
1, 7, 13, 91
The factors of 117 are:
1, 3, 9, 13, 39, 117
The common factors are:
1, 13
The Greatest Common Factor (GCF) is:
13
The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78 The factors of 91 are: 1, 7, 13, 91 The factors of 156 are: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156 The common factors are: 1, 13 The Greatest Common Factor: GCF = 13
The GCF is: 13
13.
Well, isn't that just a happy little math question! To simplify 91 over 117, we can divide both numbers by their greatest common factor, which is 13. So, 91 divided by 13 is 7, and 117 divided by 13 is 9. Therefore, the simplest form of 91 over 117 is 7 over 9. Just like that, we've created a beautiful fraction!
They are: 13, 26, 39, 52, 65, 78, 91