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What numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
330
What is a common factor of 18 and 30?
The prime factors of 18 are 2, 3 and 3 The prime factors of 30 are 2, 3 and 5 As 2 and 3 are common to both then they are common factors. Further, when numbers share common prime factors, any number which those factors can produce through multiplication is also a common factor of the two original numbers. In this case 2 x 3 = 6, so 2, 3 and 6 are common factors of 18 and 30.
True or false the greatest common factor of two relatively prime numbers is always 1?
True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.
Are 14 and 581 relatively prime?
No. They have more than just the number 1 as common factors. They also have the number 7. Relatively prime numbers only share the number 1 as a common factor.
Is there a number that goes into 12 and 35?
Those numbers share no prime factors; therefore their greatest common factor is 1.
