what are the common factors of 120 and 420
Deeznuts
To find the common factors of 120 and 420, we can list the factors of each number and find the ones that they have in common.
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
The factors of 420 are: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420.
The common factors of 120 and 420 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
To find the common factors of two numbers, you need to determine the numbers that evenly divide both of them. Let's find the common factors of 120 and 420.
First, list the factors of each number.
Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 140, 210, 420
Now, identify the common factors from the two lists:
Common factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Therefore, the common factors of 120 and 420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
120 = 2^3 * 3 * 5
420 = 2^2 * 3 * 5 * 7
common factors involve 2^2,3,5
2,3,4,5,6,10,12,20