Show the prime factorization of 842. Find GCD (75, 5)

Reginald Metcalf

Reginald Metcalf

Answered question

2021-12-11

Show the prime factorization of 842. Find GCD (75, 5) and LCM (70, 10)

Answer & Explanation

SlabydouluS62

SlabydouluS62

Skilled2021-12-12Added 52 answers

Step 1
The number is 842
842 is the number divisible by 2
842=2×421
Now the number 421 is prime so it is only divisible by 421
Therefore, the prime factorization of the number 842 is 842=2×421
Step 2
To find: GCD (75, 5)
Prime factorization of 75 is
75=3×5×5
The prime factorization of 5 is
5=5×1
The greatest common divisor of both 75 and 5 is 5
Therefore, GCD(75, 5) = 5
To find: LCM of (70, 10)
The prime factorization of 70 is
70=2×5×7
The prime factorization of 10 is
10=2×5
least common multiple of the both number 70 and 10 is 2×5×7=70
Therefore, LCM(70, 10) = 70

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?