144
72,2
36,2,2
18,2,2,2
9,2,2,2,2
3,3,2,2,2,2
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you take 144 put this^ under it and take two number that equal the same number and keep doing that until you get nothing but prime numbers and circle them
No, 64 and 144 are not relatively prime. To be relatively prime, the only common factor they could have would be 1. They have other common factors such as 2, 4, 8 and 16.
The number that both 16 and 18 can go into is the least common multiple (LCM) of the two numbers. To find the LCM, you can factorize each number into its prime factors: 16 = 2^4 and 18 = 2 * 3^2. Then, you take the highest power of each prime factor that appears in either number, which gives you 2^4 * 3^2 = 144. Therefore, 144 is the smallest number that both 16 and 18 can go into.
The GCF of 84 and 144 is 12. You must do the prime factorization of each number. The prime factorization of 144 is 2 to the fourth power times 3 squared. The prime factorization of 84 is 2 squared times 7 times 3. You take the least of each common factor which would be 2 squared and 3. Two squared equals 4 and 4 times 3 equals 12, so the GCF is 12.
Since 24 is a factor of 144 (24 * 6 = 144), 24 is the greatest common factor. ■