Yes
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
The Greatest Common Factor (GCF) is: 12
The greatest common factor (GCF) is 2.
The greatest common factor (GCF) is 4.
The greatest common factor (GCF) is 3.
The greatest common factor (GCF) is 5.
The only factor they have in common is 1. It has to be the greatest.
You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.
There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers.
Because both numbers are prime numbers, the only common factor they have is 1. Therefore, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 5 are 1 and 5. The factors of 23 are 1 and 23. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
greatest common factor of 35 and 56 = 7
The Greatest Common Factor of 45, 65 is 5.