What is the Greatest Common Factor of 67348 and 67361?

Greatest common factor (GCF) of 67348 and 67361 is 1.

GCF(67348,67361) = 1

We will now calculate the prime factors of 67348 and 67361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67348 and 67361.

How to find the GCF of 67348 and 67361?

We will first find the prime factorization of 67348 and 67361. After we will calculate the factors of 67348 and 67361 and find the biggest common factor number .

Step-1: Prime Factorization of 67348

Prime factors of 67348 are 2, 113, 149. Prime factorization of 67348 in exponential form is:

67348 = 2² × 113¹ × 149¹

Step-2: Prime Factorization of 67361

Prime factors of 67361 are 7, 9623. Prime factorization of 67361 in exponential form is:

67361 = 7¹ × 9623¹

Step-3: Factors of 67348

List of positive integer factors of 67348 that divides 67348 without a remainder.

1, 2, 4, 113, 149, 226, 298, 452, 596, 16837, 33674

Step-4: Factors of 67361

List of positive integer factors of 67361 that divides 67348 without a remainder.

1, 7, 9623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67348 and 67361. The biggest common factor number is the GCF number.
So the greatest common factor 67348 and 67361 is 1.

Also check out the Least Common Multiple of 67348 and 67361