To find the highest common factor (HCF) of 119 and 259, we need to determine the largest number that divides both 119 and 259 without leaving a remainder. One way to find the HCF is to factorize both numbers: 119 = 7 x 17 and 259 = 7 x 37. The common factor between 119 and 259 is 7, therefore the highest common factor of 119 and 259 is 7.
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The greatest (or highest) common factor of 119 and 259 is the largest number that is found on both the lists of their factors.
The factors of 119 are:
1, 7, 17, 119
The factors of 259 are:
1, 7, 37, 259
The common factors are:
1, 7
The Greatest Common Factor:
GCF = 7
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. 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 119 are 1, 7, 17, and 119. The factors of 259 are 1, 7, 37, and 259. The common factors are 1 and 7. Therefore, the greatest common factor is 7.
119 = 7 x 17; 259 = 7 x 37 so HCF is 7
The GCF is 7.7.
1 and 7
The HCF of 91 and 259 is 7