The common factors of 1 and 144 are: 1, 2,3,4,6,9, 12,16,24,36,48,72,1.

2. The greatest common factor is 4, which means that these two numbers should be greater than 4.

3. There are two kinds of results of the sum of 52 here: 4 and 48, 16 and 36, but the least common multiple of 4 and 48 is 48, which does not meet the requirements.

4. These two numbers are 16 and 36.

Extended data:

First, the relevant knowledge of factors:

If a*b=c(a, B and C are all integers), then we call A and B factors of C. It should be noted that this relationship only holds when the dividend, divisor and quotient are integers and the remainder is zero. Conversely, we call C a multiple of A and B. When learning factors and multiples, primary school mathematics does not consider 0.

Second, the common factor and the greatest common factor:

1, the common factor of two or more integers is called their common factor.

2. The greatest common factor of two or more integers is called their greatest common factor.

3. 1 is the common factor of any integer.

4. Between two nonzero natural numbers with multiple relationships, the smaller number is the greatest common factor of these two numbers.