What is the Greatest Common Factor of 73731 and 73745?

Greatest common factor (GCF) of 73731 and 73745 is 7.

GCF(73731,73745) = 7

We will now calculate the prime factors of 73731 and 73745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73731 and 73745.

How to find the GCF of 73731 and 73745?

We will first find the prime factorization of 73731 and 73745. After we will calculate the factors of 73731 and 73745 and find the biggest common factor number .

Step-1: Prime Factorization of 73731

Prime factors of 73731 are 3, 7, 3511. Prime factorization of 73731 in exponential form is:

73731 = 3¹ × 7¹ × 3511¹

Step-2: Prime Factorization of 73745

Prime factors of 73745 are 5, 7, 43. Prime factorization of 73745 in exponential form is:

73745 = 5¹ × 7³ × 43¹

Step-3: Factors of 73731

List of positive integer factors of 73731 that divides 73731 without a remainder.

1, 3, 7, 21, 3511, 10533, 24577

Step-4: Factors of 73745

List of positive integer factors of 73745 that divides 73731 without a remainder.

1, 5, 7, 35, 43, 49, 215, 245, 301, 343, 1505, 1715, 2107, 10535, 14749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73731 and 73745. The biggest common factor number is the GCF number.
So the greatest common factor 73731 and 73745 is 7.

Also check out the Least Common Multiple of 73731 and 73745