What is the Greatest Common Factor of 73738 and 73745?

Greatest common factor (GCF) of 73738 and 73745 is 7.

GCF(73738,73745) = 7

We will now calculate the prime factors of 73738 and 73745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73738 and 73745.

How to find the GCF of 73738 and 73745?

We will first find the prime factorization of 73738 and 73745. After we will calculate the factors of 73738 and 73745 and find the biggest common factor number .

Step-1: Prime Factorization of 73738

Prime factors of 73738 are 2, 7, 23, 229. Prime factorization of 73738 in exponential form is:

73738 = 2¹ × 7¹ × 23¹ × 229¹

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 73738

List of positive integer factors of 73738 that divides 73738 without a remainder.

1, 2, 7, 14, 23, 46, 161, 229, 322, 458, 1603, 3206, 5267, 10534, 36869

Step-4: Factors of 73745

List of positive integer factors of 73745 that divides 73738 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 73738 and 73745. The biggest common factor number is the GCF number.
So the greatest common factor 73738 and 73745 is 7.

Also check out the Least Common Multiple of 73738 and 73745