What is the Greatest Common Factor of 67221 and 67237?

Greatest common factor (GCF) of 67221 and 67237 is 1.

GCF(67221,67237) = 1

We will now calculate the prime factors of 67221 and 67237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67221 and 67237.

How to find the GCF of 67221 and 67237?

We will first find the prime factorization of 67221 and 67237. After we will calculate the factors of 67221 and 67237 and find the biggest common factor number .

Step-1: Prime Factorization of 67221

Prime factors of 67221 are 3, 7, 11, 97. Prime factorization of 67221 in exponential form is:

67221 = 3² × 7¹ × 11¹ × 97¹

Step-2: Prime Factorization of 67237

Prime factors of 67237 are 71, 947. Prime factorization of 67237 in exponential form is:

67237 = 71¹ × 947¹

Step-3: Factors of 67221

List of positive integer factors of 67221 that divides 67221 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 97, 99, 231, 291, 679, 693, 873, 1067, 2037, 3201, 6111, 7469, 9603, 22407

Step-4: Factors of 67237

List of positive integer factors of 67237 that divides 67221 without a remainder.

1, 71, 947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67221 and 67237. The biggest common factor number is the GCF number.
So the greatest common factor 67221 and 67237 is 1.

Also check out the Least Common Multiple of 67221 and 67237