Listen up, honey! The greatest common factor for 36, 72, and 144 is 36. Why? Because it's the largest number that divides evenly into all three of those numbers. So, there you have it, simple as that!
Chat with our AI personalities
To find the greatest common factor (GCF) of 36, 72, and 144, we first need to find the prime factorization of each number.
36 = 2^2 * 3^2 72 = 2^3 * 3^2 144 = 2^4 * 3^2
Next, we identify the common prime factors and take the smallest exponent for each common prime factor. The GCF of 36, 72, and 144 is 2^2 * 3^2, which simplifies to 36.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The common factors are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The Greatest Common Factor (GCF) is: 72
36
1*36 = 36
2*36 = 72
4*36 = 144
36.
36 goes in to 36 once, 72 twice, and 144 four times.
The greatest common factor of 144 , 128 = 16
The greatest common factor of 108 and 144 is 36.
Greatest common factor of 144 and 216 is 72.
The Greatest Common Factor (GCF) is: 9
The LCM is 144.