What is the Greatest Common Factor of 67290 and 67303?

Greatest common factor (GCF) of 67290 and 67303 is 1.

GCF(67290,67303) = 1

We will now calculate the prime factors of 67290 and 67303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67290 and 67303.

How to find the GCF of 67290 and 67303?

We will first find the prime factorization of 67290 and 67303. After we will calculate the factors of 67290 and 67303 and find the biggest common factor number .

Step-1: Prime Factorization of 67290

Prime factors of 67290 are 2, 3, 5, 2243. Prime factorization of 67290 in exponential form is:

67290 = 2¹ × 3¹ × 5¹ × 2243¹

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 67290

List of positive integer factors of 67290 that divides 67290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2243, 4486, 6729, 11215, 13458, 22430, 33645

Step-4: Factors of 67303

List of positive integer factors of 67303 that divides 67290 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67290 and 67303. The biggest common factor number is the GCF number.
So the greatest common factor 67290 and 67303 is 1.

Also check out the Least Common Multiple of 67290 and 67303