1. What is the greatest common factor of:

2x2x5x7x7
2x5x5x7x7

a. 2x5
b. 2x5x7
c. 2x5x7x7
d. 2x2x5x5x7x7
e. 2x2x2x5x5x5x7x7x7x7

2. What is the least common multiple of:

3x3x5x5x5x7
2x3x5x5x7x7

a. 2
b. 5x5x7
c. 3x3x5x5x5x7
d. 2x3x3x5x5x5x7x7
e. 2x3x3x3x5x5x5x5x5x7x7x7

Please answer and explain

What is different between greatest common factor and least common multiple

#1

GCF must divide both numbers. So,

2x5x7x7 (c)

#2
LCM must be a multiple of both numbers. So,

2x3x3x5x5x5x7x7 (d)

(e) is also a multiple, but not the LEAST multiple

#1

how to divide both mumbers

2x2x5x7x7 = 2x5x7x7 x 2

2x5x5x7x7 = 2x5x7x7 x 5

There's no number which divides both 5 and 7, so we've reached the greatest factor of both values.

I understand

so, #2
how to multiple of both numbers

Thankyou so much mmrs sue

The greatest common factor (GCF) and the least common multiple (LCM) are two concepts related to factors and multiples of numbers.

The greatest common factor (GCF) refers to the largest number that divides evenly into two or more given numbers. It is also known as the greatest common divisor (GCD). To find the GCF, you need to determine the common factors of the given numbers and identify the highest value that they all share.

On the other hand, the least common multiple (LCM) refers to the smallest multiple that is divisible by two or more given numbers. To find the LCM, you need to identify the common multiples of the given numbers and select the lowest value among them.

Now let's solve the specific questions:

1. To find the GCF of 2x2x5x7x7 and 2x5x5x7x7, you can determine the common prime factors and multiply them together. Both numbers have 2, 5, 7, and 7 as common factors. Therefore, the GCF is 2x5x7x7, which corresponds to option c.

2. To find the LCM of 3x3x5x5x5x7 and 2x3x5x5x7x7, you can identify the prime factors and include all of them in their highest powers. The LCM should have the highest power for each prime factor that occurs in either of the numbers. Therefore, the LCM is 2x3x3x5x5x5x7x7, which corresponds to option d.