What is the Greatest Common Factor of 73427 and 73441?

Greatest common factor (GCF) of 73427 and 73441 is 1.

GCF(73427,73441) = 1

We will now calculate the prime factors of 73427 and 73441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73427 and 73441.

How to find the GCF of 73427 and 73441?

We will first find the prime factorization of 73427 and 73441. After we will calculate the factors of 73427 and 73441 and find the biggest common factor number .

Step-1: Prime Factorization of 73427

Prime factors of 73427 are 101, 727. Prime factorization of 73427 in exponential form is:

73427 = 101¹ × 727¹

Step-2: Prime Factorization of 73441

Prime factors of 73441 are 271. Prime factorization of 73441 in exponential form is:

73441 = 271²

Step-3: Factors of 73427

List of positive integer factors of 73427 that divides 73427 without a remainder.

1, 101, 727

Step-4: Factors of 73441

List of positive integer factors of 73441 that divides 73427 without a remainder.

1, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73427 and 73441. The biggest common factor number is the GCF number.
So the greatest common factor 73427 and 73441 is 1.

Also check out the Least Common Multiple of 73427 and 73441