4704= 2 x 2352= 2 x 2 x 1176= 2 x 2 x 2 x 588= 2 x 2 x 2 x 2 x 294= 2 x 2 x 2 x 2 x 2 x 147= 2 x 2 x 2 x 2 x 2 x 3 x 49= 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7672= 2 x 336= 2 x 2 x 168= 2 x 2 x 2 x 84= 2 x 2 x 2 x 2 x 42= 2 x 2 x 2 x 2 x 2 x 21= 2 x 2 x 2 x 2 x 2 x 3 x 7The prime factors they have in common are 2 x 2 x 2 x 2 x 2 x 3 x 7, so the greatest common factor is 672.
2 x 2 2 x 2 = 16 2 x 2 x 5 = 20 2 x 2 x 2 x 2 x 5 = 80, the LCM
2 x 2 x 2 x 2 x 2 x 3 = 96 2 x 2 x 2 x 2 x 3 x 3 = 144 2 x 2 x 3 x 3 x 5 = 180
2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 32 4 x 16 8 x 8 2 x 2 x 16 2 x 2 x 2 x 8 2 x 2 x 2 x 2 x 4
2 x 2 x 2 x 2 x 3 = 48
376320 = 2 X 188160 = 2 X 2 X 94080 = 2 X 2 X 2 X 47040 = 2 X 2 X 2 X 2 X 23520 = 2 X 2 X 2 X 2 X 2 X 11760 = 2 X 2 X 2 X 2 X 2 X 2 X 5880 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2940 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 1470 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 735 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 5 X 147 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 5 X 3 X 49 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 5 X 3 X 7 X 7. So the prime factorization of 376320 is 29 X 3 X 5 X 72.
By multiplication 21 = 2 22 = 2 x 2 = 4 23 = 2 x 2 x 2 = 8 24 = 2 x 2 x 2 x 2 = 16 25 = 2 x 2 x 2 x 2 x 2 = 32 26 = 2 x 2 x 2 x 2 x 2 x 2 = 64 27 = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128 28 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256 29 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 516
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
2 x 2 x 2 x 2 x 2 = 322 x 2 x 2 x 2 x 2 x 2 = 642 x 2 x 2 x 2 x 2 x 3 = 962 x 2 x 2 x 2 x 2 x 5 = 1602 x 2 x 2 x 2 x 2 = 32, the GCF
You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.The answer is 2^17 = 131072.
The prime factors are 2, 2, 2, 2, 2, 2, 47 Others are combinations of the primes, i.e. 2 x 2 = 4 2 x 2 x 2 = 8 2 x 2 x 2 x 2 = 16 2 x 2 x 2 x 2 x 2 = 32 2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 47 = 94 2 x 2 x 47 = 188 2 x 2 x 2 x 47 = 376 2 x 2 x 2 x 2 x 47 = 752 2 x 2 x 2 x 2 x 2 x 47 = 1504
213 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 8192
2 x 2 x 2 x 2 x 2 = 322 x 2 x 2 x 2 x 3 = 482 x 2 x 2 x 2 x 2 x 2 = 642 x 2 x 2 x 3 x 3 = 722 x 2 x 2 x 2 x 5 = 802 x 2 x 2 x 2 x 2 x 3 = 96
384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
768 is even, so let's start by dividing it by 2. 768 = 2 x 384 = 2 x 2 x 192 = 2 x 2 x 2 x 96 = 2 x 2 x 2 x 2 x 48 = 2 x 2 x 2 x 2 x 2 x 24 = 2 x 2 x 2 x 2 x 2 x 2 x 12 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 6 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 The end number is now prime, so the prime factorisation is complete. 768 = 28 x 3.
4704= 2 x 2352= 2 x 2 x 1176= 2 x 2 x 2 x 588= 2 x 2 x 2 x 2 x 294= 2 x 2 x 2 x 2 x 2 x 147= 2 x 2 x 2 x 2 x 2 x 3 x 49= 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7672= 2 x 336= 2 x 2 x 168= 2 x 2 x 2 x 84= 2 x 2 x 2 x 2 x 42= 2 x 2 x 2 x 2 x 2 x 21= 2 x 2 x 2 x 2 x 2 x 3 x 7The prime factors they have in common are 2 x 2 x 2 x 2 x 2 x 3 x 7, so the greatest common factor is 672.
Prime factors are 2, 2, 2, 2, 2, 2, 127 (Other) factors are combinations, i.e. 2 x 2 = 4 2 x 127 = 254 2 x 2 x 2 = 8 2 x 2 x 127 = 508 2 x 2 x 2 x 2 = 16 2 x 2 x 2 x 127 = 1016 2 x 2 x 2 x 2 x 2 = 32 2 x 2 x 2 x 2 x 127 = 2032 2 x 2 x 2 x 2 x 2 x 2 = 64 2 x 2 x 2 x 2 x 2 x 127 = 4064