The GCF of two numbers m and n is 32 , their LCM is 64 , and both m and n are less than 79 . Find m and n.
A) m = 32 and n = 64
B) m = 37 and n = 128
C) m = 32 and n = 128
D) m = 64 and n = 59
E) m = 64 and n = 64

Question

The GCF of two numbers m and n is 32 , their LCM is 64 , and both m and n are less than 79 . Find m and n. ​
A) m = 32 and n = 64
B) m = 37 and n = 128
C) m = 32 and n = 128
D) m = 64 and n = 59
E) m = 64 and n = 64

Quizplus · Accepted Answer

The GCF (Greatest Common Factor) of m and n is 32, and their LCM (Least Common Multiple) is 64. The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves. Therefore, $m \times n = 32 \times 64$. The only pair that satisfies this condition and where both numbers are less than 79 is m = 32 and n = 64.

The GCF of Two Numbers M and N Is 32