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.
lcm(7, 12, 14) = 84 Using prime factorization: 7 = 7 12 = 2² x 3 14 = 2 x 7 lcm = 2² x 3 x 7 = 84
That would be 8 with an exponent of 4.
Prime factorization of: 84 = 2 x 2 x 3 .......... x 7 105= ..........3 x ......5 x 7 126= 2 x .. ..3 x 3 x...... 7 ================== GCF= ..........3 x ...........7 = 21 Answer: The GCF of 84, 105 and 126 = 21
Prime factorization is a term that applies to any positive integer and has no particular relation to denominators, except it a useful concept in reducing fractions sto lowest terms. The term means to divide a number into primes, which means numbers that can not be divided further. Example: the prime factorization of 24 is 2*2*2 * 3 ( I use the symbol * to mean multiply) For is 60 is 2*2*3*5 for 49 is 7*7 for 47 is just 47 since this is a prime. To reduce a fraction to lowest terms, find the prime factorization of both the denominator and the numerator and cancel all the common factors. Example : reduce 84/120 84= 2*2*3*7 120 = 2*2*2* 3* 5 so 2 can be canceled twice , and 3 once, so the answer is 7/ 2*5 = 7/10
84 = 22 x 3 x 7
22 x 3 x 7 = 84
22 x 3 x 7 = 84
22 x 3 x 7 = 84
22 x 3 x 7 = 84
[2 x 2 x 3 x 7] or [22 x 31 x 71]
22 x 3 x 7 = 84
It is: 2^2*3*7 = 84
As a product of its prime factors in exponents: 22*3*7 = 84
The prime factorization of 84 is 22 x 3 x 7.
7x2x2x3
7 is the greatest prime factor of 84.