What is the Greatest Common Factor of 73138 and 73151?

Greatest common factor (GCF) of 73138 and 73151 is 13.

GCF(73138,73151) = 13

We will now calculate the prime factors of 73138 and 73151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73138 and 73151.

How to find the GCF of 73138 and 73151?

We will first find the prime factorization of 73138 and 73151. After we will calculate the factors of 73138 and 73151 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 73151

Prime factors of 73151 are 13, 17, 331. Prime factorization of 73151 in exponential form is:

73151 = 13¹ × 17¹ × 331¹

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 73151

List of positive integer factors of 73151 that divides 73138 without a remainder.

1, 13, 17, 221, 331, 4303, 5627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73138 and 73151. The biggest common factor number is the GCF number.
So the greatest common factor 73138 and 73151 is 13.

Also check out the Least Common Multiple of 73138 and 73151