A fun way to figure out the number of factors, other than listing them all, is to use something called the TAU function. Take a number, such as 36 and write it in its prime factorization So 36=32 x 22 and 48=24 x 3 Now Tau(36) (which we say as Tau of 36) is the number of positive divisors of 36. Tau (48) is the number of positive divisors of 48. We compute Tau by looking at the exponents, 2 and 2 in the prime factorization and addiing 1 to each then multiplying. Don't worry about the base, ONLY the exponents! So Tau(36)=(2+1)(2+1)=9 Tau(48)=(4+1)(1+1)=10 which is greater than 9 so 48 has more factors. If you look at the links section with this question, I provided a webpage that helps a little more!
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Common factors of 36 and 48 are: 1, 2, 3, 4, 6, and 12.
The common factors are: 1, 2, 3, 4, 6, 12.
Well, honey, the factors of 12 are 1, 2, 3, 4, 6, and 12. For 18, you've got 1, 2, 3, 6, 9, and 18. Now, for 36, we're looking at 1, 2, 3, 4, 6, 9, 12, 18, and 36. And lastly, for 48, we've got 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Hope that clears things up for ya, sugar!
48:1,2,3,4,6,8,12,16,24,48 72:1,2,3,4,6,8,9,12,18,24,36,72 The GCF is 24
108 is a multiple of 36.