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What is the gcf of 40 and 60 and 80?
The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.
What is the definition and purpose of prime factorization?
Prime factorization is the result of expressing a number as the product of its prime factors. It will assist you in finding the GCF and LCM of any given number set.
Could you Write the prime factorization in exponential form then write the GCF of 9?
The prime factorization of 9 is 32 You need at least two numbers to find a GCF.
What is the gcf of 207 using prime factorization?
You need at least two numbers to find a GCF. The prime factorization of 207 is 3 x 3 x 23.
What is the GCF of 124 and 24?
The prime factorization of 124 is 2 * 2 * 31 = 22 * 31. The prime factorization of 24 is 2 * 2 * 2 * 3 = 23 * 3. The GCF contains all prime factors contained in both numbers. We find 22 is in both, so the GCF is 4.
