What is the Greatest Common Factor of 67340 and 67347?

Greatest common factor (GCF) of 67340 and 67347 is 7.

GCF(67340,67347) = 7

We will now calculate the prime factors of 67340 and 67347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67340 and 67347.

How to find the GCF of 67340 and 67347?

We will first find the prime factorization of 67340 and 67347. After we will calculate the factors of 67340 and 67347 and find the biggest common factor number .

Step-1: Prime Factorization of 67340

Prime factors of 67340 are 2, 5, 7, 13, 37. Prime factorization of 67340 in exponential form is:

67340 = 2² × 5¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 67347

Prime factors of 67347 are 3, 7, 1069. Prime factorization of 67347 in exponential form is:

67347 = 3² × 7¹ × 1069¹

Step-3: Factors of 67340

List of positive integer factors of 67340 that divides 67340 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 37, 52, 65, 70, 74, 91, 130, 140, 148, 182, 185, 259, 260, 364, 370, 455, 481, 518, 740, 910, 962, 1036, 1295, 1820, 1924, 2405, 2590, 3367, 4810, 5180, 6734, 9620, 13468, 16835, 33670

Step-4: Factors of 67347

List of positive integer factors of 67347 that divides 67340 without a remainder.

1, 3, 7, 9, 21, 63, 1069, 3207, 7483, 9621, 22449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67340 and 67347. The biggest common factor number is the GCF number.
So the greatest common factor 67340 and 67347 is 7.

Also check out the Least Common Multiple of 67340 and 67347