find the greatest number by which 5445 and 9317 are divisible

The greatest number that divides both 5445 and 9317 is 121. Here’s the quick idea in simple terms:

• You are being asked for the greatest number that divides both 5445 and 9317 exactly.
• This is the H.C.F. (Highest Common Factor) or G.C.D. (Greatest Common Divisor) of 5445 and 9317.
• When you factor both numbers into primes, the common part comes out to 11×11=12111\times 11=12111×11=121.
• So, 5445 ÷ 121 and 9317 ÷ 121 both give whole numbers, and no larger number will do that for both.

👉 Answer: 121