What is the Greatest Common Factor of 73138 and 73149?

Greatest common factor (GCF) of 73138 and 73149 is 1.

GCF(73138,73149) = 1

We will now calculate the prime factors of 73138 and 73149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73138 and 73149.

How to find the GCF of 73138 and 73149?

We will first find the prime factorization of 73138 and 73149. After we will calculate the factors of 73138 and 73149 and find the biggest common factor number .

Step-1: Prime Factorization of 73138

Prime factors of 73138 are 2, 13, 29, 97. Prime factorization of 73138 in exponential form is:

73138 = 2¹ × 13¹ × 29¹ × 97¹

Step-2: 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-3: Factors of 73138

List of positive integer factors of 73138 that divides 73138 without a remainder.

1, 2, 13, 26, 29, 58, 97, 194, 377, 754, 1261, 2522, 2813, 5626, 36569

Step-4: Factors of 73149

List of positive integer factors of 73149 that divides 73138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73138 and 73149. The biggest common factor number is the GCF number.
So the greatest common factor 73138 and 73149 is 1.

Also check out the Least Common Multiple of 73138 and 73149