Answer:
The answer is C
Step-by-step explanation:
To find which pair of numbers is relatively prime, start by finding all the factors for each pair of numbers. The numbers one hundred twelve and thirty-six are both even numbers, so two is a factor of them both. Therefore, one hundred twelve and thirty-six are not relatively prime. The factors of two hundred seventy-five are one, five, eleven, twenty-five, fifty-five, and two hundred seventy-five. The factors of seventy-seven are one, seven, eleven, and seventy-seven. They share eleven as a common factor, which means that two hundred seventy-five and seventy-seven are not relatively prime. The factors of six hundred twenty-five are one, five, twenty-five, one hundred twenty-five, and six hundred twenty-five. The factors of eighty-one are one, three, nine, twenty-seven, and eighty-one. The only factor common to both numbers is one. So, six hundred twenty-five and eighty-one are relatively prime. The numbers eight hundred and ninety-five each have a common factor of five, as well as one. So, these two numbers are not relatively prime. The pair of numbers that are relatively prime is six hundred twenty-five and eighty-one.
