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

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12y 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.


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 280 and 180?

The Highest Common Factor (HCF) of 280 and 180 is the largest positive integer that divides both numbers 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 280 is 2^3 * 5 * 7 and the prime factorization of 180 is 2^2 * 3^2 * 5. The common factors between the two numbers are 2^2 and 5, so the HCF of 280 and 180 is 20.


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 189 as a prime?

The prime factorization of 189 is 3 x 3 x 3 x 7. You need at least two numbers to find a GCF.


What is the HCF of 3888 and 648?

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 3888 and 648, we first need to factorize both numbers. The prime factorization of 3888 is 2^4 x 3^5 and the prime factorization of 648 is 2^3 x 3^4. To find the HCF, we take the minimum power of each prime factor present in both numbers, which is 2^3 x 3^4 = 648. Therefore, the HCF of 3888 and 648 is 648.