2 and 3. In fact, 2 and 3 are the ONLY prime factors of both.
36 = 22 x 32.
144 = 24 x 32.
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The factors of 16 are: 1, 2, 4, 8, and 16.The prime factors of 16 are: 2.The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.The prime factors of 144 are: 2 and 3.
The prime factors of 36 are 2 and 3. Add them together.
The factors of -144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 and their negatives. The prime factors are: 2 and 3The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144144 has 15 factors.
The prime numbers (factors) of 36 are: 2 and 3
One way to approach this is to look at the difference between 144 and 180, which is 36. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 144 and 180 are divisible by 36, the greatest common factor is 36. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. The common factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Therefore, the greatest common factor is 36. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 144 are 2, 2, 2, 2, 3, and 3. The prime factors of 180 are 2, 2, 3, 3, and 5. The prime factors in common are 2, 2, 3, and 3, so the greatest common factor is 2 x 2 x 3 x 3 = 36.