What is the Greatest Common Factor of 73149 and 73153?

Greatest common factor (GCF) of 73149 and 73153 is 1.

GCF(73149,73153) = 1

We will now calculate the prime factors of 73149 and 73153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73149 and 73153.

How to find the GCF of 73149 and 73153?

We will first find the prime factorization of 73149 and 73153. After we will calculate the factors of 73149 and 73153 and find the biggest common factor number .

Step-1: Prime Factorization of 73149

Prime factors of 73149 are 3, 37, 659. Prime factorization of 73149 in exponential form is:

73149 = 3¹ × 37¹ × 659¹

Step-2: Prime Factorization of 73153

Prime factors of 73153 are 191, 383. Prime factorization of 73153 in exponential form is:

73153 = 191¹ × 383¹

Step-3: Factors of 73149

List of positive integer factors of 73149 that divides 73149 without a remainder.

1, 3, 37, 111, 659, 1977, 24383

Step-4: Factors of 73153

List of positive integer factors of 73153 that divides 73149 without a remainder.

1, 191, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73149 and 73153. The biggest common factor number is the GCF number.
So the greatest common factor 73149 and 73153 is 1.

Also check out the Least Common Multiple of 73149 and 73153