The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.
The greatest common factor of 675 and 1035 is 45
Chat with our AI personalities
The greatest common factor (GCF) is: 45
To find the greatest square factor of 675, we need to break down 675 into its prime factors: 3 x 3 x 3 x 5 x 5. To identify the square factors, we look for pairs of the same prime factors. In this case, we have two 3's and two 5's. Multiplying these pairs together gives us the greatest square factor of 675, which is 3 x 3 x 5 x 5 = 225.
The least common factor of 45, 27, and 25 is 1. If you meant the least common multiple of those three numbers, then that would be 675. The factors of 25 are 1, 5, and 25. The factors of 27 are 1, 3, 9, and 27. The factors of 45 are 1, 3, 5, 9, 15, and 45. The only common factor is 1. Therefore, it is both the greatest common factor (the largest one) and the least common factor (the smallest one).
675 / \ 135 5 /. \ 27 5 / \ 9 3 /\ 3 3
675 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 12 factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, and 675.The proper factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, and 225 or,if the definition you are using excludes 1, they are 3, 5, 9, 15, 25, 27, 45, 75, 135, and 225.The prime factors of 675 are 3, 3, 3, 5, and 5. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The 2 distinct prime factors (listing each prime factor only once) of 675 are 3 and 5.The prime factorization of 675 is 3 x 3 x 3 x 5 x 5 or, in index form (in other words, using exponents), 33 x 52.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.