196: 2-2-2-2-11
1078: 2-7-7-11
Greatest common factor: 22
Method(s) used:
# The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
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The greatest common factor of 196 and 112 is 28.
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The greatest common factor of 147 and 196 is 49.