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Prime factorization is one of the ways you find the HCF.

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13y ago
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12y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF.

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Q: What is the prime factorization of HCF?
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What is the Hcf of 120 400?

The Highest Common Factor (HCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the HCF of 120 and 400, you can use the prime factorization method. The prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 400 is 2^4 * 5^2. To find the HCF, you take the common prime factors with the lowest exponent, which in this case is 2^3 * 5 = 40. Therefore, the HCF of 120 and 400 is 40.


What is the HCF of 120 and 65?

The Highest Common Factor (HCF) of 120 and 65 is the largest positive integer that divides both 120 and 65 without leaving a remainder. To find the HCF, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 65 is 5 * 13. The common factors are 5, so the HCF of 120 and 65 is 5.


HCF of 70 by prime factorization method?

As a product of its prime factors: 2*5*7 = 70 Note that at least two or more numbers are needed to find their HCF


Where do you use prime factorization in real life?

In finding the LCM or HCF of two or more numbers


What is the HCF of 210 and 112?

Oh, dude, the Highest Common Factor (HCF) of 210 and 112 is 14. Like, you just find the factors of each number, and then see which is the largest one they have in common. It's like finding out which toppings you and your friend both want on your pizza - in this case, it's 14.


What is the HCF of 4 and 28?

This is the way to do it.. Factorize 4,28 using prime numbers only (Prime factorization) till you get 1,1. The prime numbers used are 2,2 & 7 Therefore HCF(4,28)= 2*2*7 = 28.


What is the hcf of 160 and 200?

The highest common factor (HCF) of 160 and 200 is the largest positive integer that divides both 160 and 200 without leaving a remainder. To find the HCF, you can use the prime factorization method. The prime factorization of 160 is 2^5 * 5, and the prime factorization of 200 is 2^3 * 5^2. To find the HCF, you take the common factors with the lowest exponent, which in this case is 2^3 * 5 = 40. Therefore, the HCF of 160 and 200 is 40.


Find the HCF and the LCM 2 to the power of 2 multiply by 3 to the power of 3?

22 x 33 is the prime factorization of 108. If you have another prime factorization, we can find a GCF and an LCM between the two.


What is the HCF of 12 18 and 24?

The GCF is 6.


What is the HCF of 144 and 216?

It is: 72


What is the highest common factor of 735 and 2625?

The highest common factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF of 735 and 2625, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 735 is 3 x 5 x 7^2 and the prime factorization of 2625 is 3^2 x 5^2 x 7. The common factors between the two numbers are 3 and 5, so the HCF of 735 and 2625 is 15.


What is the HCF of 210 and 504?

The Highest Common Factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF of 210 and 504, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 210 is 2 x 3 x 5 x 7, and the prime factorization of 504 is 2^3 x 3^2 x 7. To find the HCF, you take the common prime factors with the lowest exponents, which are 2 x 3 x 7 = 42. Therefore, the HCF of 210 and 504 is 42.