What is the Greatest Common Factor of 42 and 100?

Answer 1

To find the Greatest Common Factor (GCF) of 42 and 100, you need to determine the largest number that can evenly divide both 42 and 100. First, list the factors of each number: 42 (1, 2, 3, 6, 7, 14, 21, 42) and 100 (1, 2, 4, 5, 10, 20, 25, 50, 100). The GCF is the largest number that appears in both lists, which in this case is 2. Therefore, the GCF of 42 and 100 is 2.

Answer 2

Let's break 42 and 100 down into it's smallest components:

• 42 ÷ 2 = 21
• 21 ÷ 3 = 7
• 7 ÷ 7 = 1

So the factors of 42 are: 2 • 3 • 7

• 100 ÷ 2 = 50
• 50 ÷ 2 = 25
• 25 ÷ 5 = 5
• 5 ÷ 5 = 1

So the factors of 100 are: 2 • 2 • 5 • 5

Let's go ahead and compare our results and point out anything in common.

• 42: 2 • 3 • 7
• 100: 2 • 2 • 5 • 5

Therefore the GCF of 42 & 100 is 2.

Answer 3

The GCF of 42 and 100 is 2.