What is the Greatest Common Factor of 67286 and 67303?

Greatest common factor (GCF) of 67286 and 67303 is 17.

GCF(67286,67303) = 17

We will now calculate the prime factors of 67286 and 67303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67286 and 67303.

How to find the GCF of 67286 and 67303?

We will first find the prime factorization of 67286 and 67303. After we will calculate the factors of 67286 and 67303 and find the biggest common factor number .

Step-1: Prime Factorization of 67286

Prime factors of 67286 are 2, 17, 1979. Prime factorization of 67286 in exponential form is:

67286 = 2¹ × 17¹ × 1979¹

Step-2: Prime Factorization of 67303

Prime factors of 67303 are 17, 37, 107. Prime factorization of 67303 in exponential form is:

67303 = 17¹ × 37¹ × 107¹

Step-3: Factors of 67286

List of positive integer factors of 67286 that divides 67286 without a remainder.

1, 2, 17, 34, 1979, 3958, 33643

Step-4: Factors of 67303

List of positive integer factors of 67303 that divides 67286 without a remainder.

1, 17, 37, 107, 629, 1819, 3959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67286 and 67303. The biggest common factor number is the GCF number.
So the greatest common factor 67286 and 67303 is 17.

Also check out the Least Common Multiple of 67286 and 67303