What is the Greatest Common Factor of 77234 and 77241?

Greatest common factor (GCF) of 77234 and 77241 is 1.

GCF(77234,77241) = 1

We will now calculate the prime factors of 77234 and 77241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77234 and 77241.

How to find the GCF of 77234 and 77241?

We will first find the prime factorization of 77234 and 77241. After we will calculate the factors of 77234 and 77241 and find the biggest common factor number .

Step-1: Prime Factorization of 77234

Prime factors of 77234 are 2, 23, 73. Prime factorization of 77234 in exponential form is:

77234 = 2¹ × 23² × 73¹

Step-2: Prime Factorization of 77241

Prime factors of 77241 are 3, 25747. Prime factorization of 77241 in exponential form is:

77241 = 3¹ × 25747¹

Step-3: Factors of 77234

List of positive integer factors of 77234 that divides 77234 without a remainder.

1, 2, 23, 46, 73, 146, 529, 1058, 1679, 3358, 38617

Step-4: Factors of 77241

List of positive integer factors of 77241 that divides 77234 without a remainder.

1, 3, 25747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77234 and 77241. The biggest common factor number is the GCF number.
So the greatest common factor 77234 and 77241 is 1.

Also check out the Least Common Multiple of 77234 and 77241