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The greatest common factor of 36 and 90 is 18.
The common factors of 36 and 90 are 1, 2, 3, 6, 9, and 18.
Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.
Methods:
One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
The common factors are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor is 18.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 36 are 2, 2, 3, and 3.
The prime factors of 90 are 2, 3, 3, and 5.
The prime factors in common are 2, 3, and 3, so the greatest common factor is 2 x 3 x 3 = 18.
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What is the Greatest common factor of 80 85 90?
The Greatest Common Factor of 80, 85, 90: 5
What is the greatest common factor of 90 150 120?
The GCF is 30.
What is the greatest common factor of 18 54 90?
To find the greatest common factor (GCF) of 18, 54, and 90, we first need to find the prime factorization of each number. The prime factorization of 18 is 2 * 3^2, the prime factorization of 54 is 2 * 3^3, and the prime factorization of 90 is 2 * 3^2 * 5. To find the GCF, we identify the common prime factors among the numbers, which are 2 and 3^2. Therefore, the GCF of 18, 54, and 90 is 2 * 3^2, which equals 18.
What is the GCF of 20 30 90?
The GCF is 10.
What is the highest common factor of 225 and 270?
To find the highest common factor (HCF) of 225 and 270, we first need to find the factors of each number. The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and 225. The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270. The highest common factor of 225 and 270 is 45, as it is the largest factor that both numbers share.
