The factor pairs are factor strings of length 2:
1 x 48, 2 x 24, 3 x 16, 4 x 12, 6 x 8
The prime factorization is the longest factor string, which has a length of 5:
2 x 2 x 2 x 2 x 3
There are other factor strings:
2 x 2 x 12
2 x 3 x 8
2 x 4 x 6
2 x 2 x 2 x 6
2 x 2 x 3 x 4
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2 x 24
3 x 16
4 x 12
6 x 8
2 x 2 x 12
2 x 3 x 8
2 x 2 x 2 x 6
2 x 2 x 3 x 4
2 x 2 x 2 x 2 x 3
2 x 2 x 13 = 52
8x3x5x7, 28x10x3 there are a ton more but don't have time to write them
The greatest common factor for 36 and 48 is 12.
The greatest common factor of 48 and 28 is 4.
The Greatest Common Factor of 28, 48 is 4.