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Prime Factor, Greatest Common Factor, Least Common Multiple

A Prime number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1.

Prime Factorization is the process of finding all the prime factors of an integer. Here is a simple way. In the first diagram below, the prime factors of integer 891 is 3, 3, 3, 3, and 11.

prime_factorization

How do you find the greatest common factor (GCF) among integers? And how do you find the lest common multiple (LCM) among integers? Here is a simple way. In 2nd diagram below, the greatest common factor among (1092, 588, 1596) is 2*2*3*7=84, and the lest common multiple of (1092, 588, 1596) is 2*2*3*7*13*7*19 = 145,236

 common_factor_multiple